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Celebratio Mathematica

Leonard Eugene Dickson

Algebra  ·  U Chicago

Bibliography

[1]L. E. Dick­son: “The in­scrip­tion of reg­u­lar poly­gons: Chapter I,” Amer. Math. Mon. 1 : 9 (September 1894), pp. 299–​301. MR 1513546 article

[2]L. E. Dick­son: “The in­scrip­tion of reg­u­lar poly­gons: Chapter IV,” Amer. Math. Mon. 1 : 12 (December 1894), pp. 423–​425. MR 1513645 article

[3]L. E. Dick­son: “The in­scrip­tion of reg­u­lar poly­gons: Chapter II,” Amer. Math. Mon. 1 : 10 (October 1894), pp. 342–​345. MR 1513582 article

[4]L. E. Dick­son: “The simplest mod­el for il­lus­trat­ing the con­ic sec­tions,” Amer. Math. Mon. 1 : 8 (August 1894), pp. 261. MR 1513516 article

[5]L. E. Dick­son: “On the num­ber of in­script­ible reg­u­lar poly­gons,” Bull. Am. Math. Soc. 3 : 5 (1894), pp. 123–​125. MR 1557312 article

[6]L. E. Dick­son: “Bio­graphy: Dr. George Bruce Halsted,” Amer. Math. Mon. 1 : 10 (October 1894), pp. 336–​340. MR 1513580 article

[7]L. E. Dick­son: “Low­est in­tegers rep­res­ent­ing sides of a right tri­angle,” Amer. Math. Mon. 1 : 1 (January 1894), pp. 6–​11. MR 1513298 article

[8]L. E. Dick­son: “The in­scrip­tion of reg­u­lar poly­gons: Chapter III,” Amer. Math. Mon. 1 : 11 (November 1894), pp. 376–​377. MR 1513609 article

[9]L. E. Dick­son: “On the in­scrip­tion of reg­u­lar poly­gons,” Ann. Math. 9 : 1–​6 (1894–1895), pp. 73–​84. MR 1502183 JFM 26.​0568.​01 article

[10]L. E. Dick­son: “The in­scrip­tion of reg­u­lar poly­gons: Chapter V,” Amer. Math. Mon. 2 : 1 (January 1895), pp. 7–​9. MR 1513673 article

[11]L. E. Dick­son: “A quad­rat­ic Cre­mona trans­form­a­tion defined by a con­ic,” Amer. Math. Mon. 2 : 7–​8 (July–August 1895), pp. 218–​221. Also pub­lished in Rend. Circ. Mat. Palermo 9:1 (1895). MR 1513859 article

[12]L. E. Dick­son: “The in­scrip­tion of reg­u­lar poly­gons: Chapter VI,” Amer. Math. Mon. 2 : 2 (February 1895), pp. 38–​40. MR 1513697 article

[13]L. E. Dick­son: “Cyc­lic num­bers,” Quart. J. Pure Ap­pl. Math. 27 (1895), pp. 366–​377. JFM 26.​0206.​02 article

[14]L. E. Dick­son: “Some fal­la­cies of an angle tri­sect­or,” Amer. Math. Mon. 2 : 3 (March 1895), pp. 71–​72. MR 1513727 article

[15]L. E. Dick­son: “A quad­rat­ic Cre­mona trans­form­a­tion defined by a con­ic,” Rend. Circ. Mat. Palermo 9 : 1 (1895), pp. 256–​259. Also pub­lished in Amer. Math. Monthly 2:7–8 (1895). JFM 26.​0610.​01 article

[16]L. E. Dick­son: “Ger­gonne’s pile prob­lem,” Bull. Am. Math. Soc. 1 : 7 (1895), pp. 184–​186. MR 1557376 JFM 26.​0239.​03 article

[17]L. E. Dick­son: “Ana­lyt­ic func­tions suit­able to rep­res­ent sub­sti­tu­tions,” Amer. J. Math. 18 : 3 (July 1896), pp. 210–​218. MR 1505712 JFM 27.​0105.​02 article

[18]L. E. Dick­son: The ana­lyt­ic rep­res­ent­a­tion of sub­sti­tu­tions on a power of a prime num­ber of let­ters with a dis­cus­sion of the lin­ear group. Ph.D. thesis, Uni­versity of Chica­go, 1896. Ad­vised by E. H. Moore. See also art­icles in Ann. Math. 11:1–6 (1896–1897) and Ann. Math. 11:1–6 (1896–1897). MR 2936778 phdthesis

[19]L. E. Dick­son: “The ana­lyt­ic rep­res­ent­a­tion of sub­sti­tu­tions on a power of a prime num­ber of let­ters with a dis­cus­sion of the lin­ear group, I: Ana­lyt­ic rep­res­ent­a­tion of sub­sti­tu­tions,” Ann. Math. 11 : 1–​6 (1896–1897), pp. 161–​183. Part II pub­lished in Ann. Math. 11:1–6 (1896–1897). See also Dick­son’s PhD thes­is. MR 1502221 article

[20]L. E. Dick­son: “The ana­lyt­ic rep­res­ent­a­tion of sub­sti­tu­tions on a power of a prime num­ber of let­ters with a dis­cus­sion of the lin­ear group, II: Lin­ear groups,” Ann. Math. 11 : 1–​6 (1896–1897), pp. 65–​120. Part I pub­lished in Ann. Math. 11:1–6 (1896–1897). See also Dick­son’s PhD thes­is. MR 1502214 article

[21]L. E. Dick­son: “Sys­tems of con­tinu­ous and dis­con­tinu­ous simple groups,” Bull. Am. Math. Soc. 3 : 8 (1897), pp. 265–​273. MR 1557521 JFM 28.​0320.​02 article

[22]L. E. Dick­son: “High­er ir­re­du­cible con­gru­ences,” Bull. Am. Math. Soc. 3 : 10 (1897), pp. 381–​389. MR 1557535 JFM 28.​0185.​01 article

[23]L. E. Dick­son: “The struc­ture of the hy­poabeli­an groups,” Bull. Am. Math. Soc. 4 : 10 (1898), pp. 495–​510. MR 1557641 JFM 29.​0119.​01 article

[24]L. E. Dick­son: “A new solu­tion of the cu­bic equa­tion,” Amer. Math. Mon. 5 : 2 (February 1898), pp. 38–​39. MR 1514484 article

[25]L. E. Dick­son: “Con­cern­ing a lin­ear ho­mo­gen­eous group in \( C_{m,\,q} \) vari­ables iso­morph­ic to the gen­er­al lin­ear ho­mo­gen­eous group in \( m \) vari­ables,” Bull. Am. Math. Soc. 5 : 3 (1898), pp. 120–​135. MR 1557673 JFM 29.​0119.​02 article

[26]L. E. Dick­son: “Sys­tems of simple groups de­rived from the or­tho­gon­al group,” Bull. Am. Math. Soc. 4 : 8 (1898), pp. 382–​389. An art­icle with the same title (“the com­plete mem­oir” ac­cord­ing to LED) was also pub­lished in Cali­for­nia Acad. Proc. 1 (1898). MR 1557622 article

[27]L. E. Dick­son: “The quad­rat­ic Cre­mona trans­form­a­tion,” Cali­for­nia Acad. Proc. 1 (1898), pp. 13–​23. JFM 29.​0570.​04 article

[28]L. E. Dick­son: “Sys­tems of simple groups de­rived from the or­tho­gon­al group,” Cali­for­nia Acad. Proc. 1 (1898), pp. 29–​40. A short­er art­icle with the same title was pub­lished in Bull. Am. Math. Soc. 4:8 (1898). JFM 29.​0121.​03 article

[29]L. E. Dick­son: “A new triply-in­fin­ite sys­tem of simple groups ob­tained by a two­fold gen­er­al­iz­a­tion of Jordan’s first hy­poabeli­an group,” Bull. Am. Math. Soc. 5 : 1 (1898), pp. 10–​12. Ab­stract only. Avail­able open access here. JFM 29.​0121.​04 article

[30]L. E. Dick­son: “A triply in­fin­ite sys­tem of simple groups,” Quart. J. Pure Ap­pl. Math. 29 (1898), pp. 169–​178. JFM 28.​0136.​01 article

[31]L. E. Dick­son: “Or­tho­gon­al group in a Galois field,” Bull. Am. Math. Soc. 4 : 5 (1898), pp. 196–​200. MR 1557585 article

[32]L. E. Dick­son: “De­term­in­a­tion of the struc­ture of all lin­ear ho­mo­gen­eous groups in a Galois field which are defined by a quad­rat­ic in­vari­ant,” Amer. J. Math. 21 : 3 (July 1899), pp. 193–​256. MR 1505798 JFM 30.​0137.​03 article

[33]L. E. Dick­son: “The struc­ture of cer­tain lin­ear groups with quad­rat­ic in­vari­ants,” Proc. Lon­don Math. Soc. 30 : 1 (1899), pp. 70–​98. MR 1575479 JFM 30.​0137.​02 article

[34]L. E. Dick­son: “Sur plusieurs groupes lin­eaires iso­morph­es au groups simple d’or­dre \( {}25920 \)” [On sev­er­al lin­ear groups iso­morph­ic to the simple group of or­der 25920], C. R. Acad. Sci. Par­is 128 (1899), pp. 873–​875. JFM 30.​0141.​02 article

[35]L. E. Dick­son: “Sur une gen­er­al­isa­tion du théorème de Fer­mat” [On a gen­er­al­iz­a­tion of Fer­mat’s the­or­em], C. R. Acad. Sci. Par­is 128 (1899), pp. 1083–​1085. French trans­la­tion of art­icle in Ann. Math. 1:1–4 (1898–1900). JFM 30.​0185.​02 article

[36]L. E. Dick­son: “The largest lin­ear ho­mo­gen­eous group with an in­vari­ant Pfaf­fi­an,” Bull. Am. Math. Soc. 5 : 3 (1899), pp. 338–​342. JFM 30.​0142.​02 article

[37]L. E. Dick­son: “The group of lin­ear ho­mo­gen­eous sub­sti­tu­tions on \( m_q \) vari­ables which is defined by the in­vari­ant \( \Phi=\sum_{i=1}^{i=m}\xi_{i1}\xi_{i2}\dots\xi_{iq} \),” Proc. Lon­don Math. Soc. 30 : 1 (1899), pp. 200–​208. MR 1575464 JFM 30.​0141.​01 article

[38]L. E. Dick­son: “The known fi­nite simple groups,” Bull. Am. Math. Soc. 5 : 10 (1899), pp. 470–​475. JFM 30.​0143.​01 article

[39]L. E. Dick­son: “Re­port on the re­cent pro­gress in the the­ory of lin­ear groups,” Bull. Am. Math. Soc. 6 : 1 (1899), pp. 13–​27. JFM 30.​0042.​01 article

[40]L. E. Dick­son: “The first hy­poabeli­an group gen­er­al­ized,” Quart. J. Pure Ap­pl. Math. 30 (1899), pp. 1–​16. JFM 29.​0118.​01 article

[41]L. E. Dick­son: “Sim­pli­city of the Abeli­an group on two pairs of in­dices in the Galois field of or­der \( {}2^n \), \( n > 1 \),” Quart. J. Pure Ap­pl. Math. 30 (1899), pp. 383–​384. JFM 29.​0118.​02 article

[42]L. E. Dick­son: “Con­cern­ing the four known simple lin­ear groups of or­der \( {}25920 \), with an in­tro­duc­tion to the hy­per-abeli­an lin­ear groups,” Proc. Lon­don Math. Soc. 31 : 1 (1899), pp. 30–​68. MR 1576714 JFM 30.​0138.​01 article

[43]L. E. Dick­son: “The ab­stract group iso­morph­ic with the sym­met­ric group on \( k \) let­ters,” Proc. Lon­don Math. Soc. 31 : 1 (1899), pp. 351–​353. MR 1576717 JFM 30.​0141.​03 article

[44]L. E. Dick­son: “The struc­ture of the lin­ear ho­mo­gen­eous groups defined by the in­vari­ant \( \lambda^1\zeta_1^r+\lambda^2\zeta_2^r+\cdots+\lambda^m\zeta_m^r \),” Math. Ann. 52 : 4 (1899), pp. 561–​581. MR 1511073 JFM 30.​0140.​01 article

[45]L. E. Dick­son: “A gen­er­al­iz­a­tion of Fer­mat’s the­or­em,” Ann. Math. (2) 1 : 1–​4 (1899–1900), pp. 31–​36. French trans­la­tion pub­lished in C. R. Acad. Sci. Par­is 128 (1899). MR 1502247 JFM 30.​0185.​01 article

[46]L. E. Dick­son: “A new defin­i­tion of the gen­er­al Abeli­an lin­ear group,” Trans. Am. Math. Soc. 1 : 1 (1900), pp. 91–​96. MR 1500527 JFM 31.​0138.​04 article

[47]L. E. Dick­son: “Defin­i­tion of the abeli­an, the two hy­poabeli­an, and re­lated lin­ear groups as quo­tient-groups of the groups of iso­morph­isms of cer­tain ele­ment­ary groups,” Trans. Am. Math. Soc. 1 : 1 (1900), pp. 30–​38. MR 1500521 JFM 31.​0138.​03 article

[48]L. E. Dick­son: “Proof of the ex­ist­ence of the Galois field of or­der \( p^r \) for every in­teger \( r \) and prime num­ber \( p \),” Bull. Am. Math. Soc. 6 : 5 (1900), pp. 203–​204. MR 1557697 JFM 31.​0142.​02 article

[49]L. E. Dick­son: “A class of lin­ear groups in­clud­ing the Abeli­an group,” Quart. J. Pure Ap­pl. Math. 31 (1900), pp. 60–​66. JFM 30.​0142.​01 article

[50]L. E. Dick­son: “Proof of the non-iso­morph­ism of the simple Abeli­an group on \( {}2m \) in­dices and the or­tho­gon­al group on \( {}2m+1 \) in­dices for \( m > 2 \),” Quart. J. Pure Ap­pl. Math. 32 (1900), pp. 42–​63. JFM 31.​0142.​01 article

[51]L. E. Dick­son: “Er­rata: ‘De­term­in­a­tion of an ab­stract simple group of or­der \( {}2^7\cdot3^6\cdot5\cdot7 \) holoedric­ally iso­morph­ic with a cer­tain or­tho­gon­al group and with a cer­tain hy­pe­r­a­beli­an group’,” Trans. Am. Math. Soc. 1 : 4 (1900), pp. 509. Er­rata for art­icle in Trans. Am. Math. Soc. 1:3 (1900). MR 1500436 article

[52]L. E. Dick­son: “An ab­stract simple group of or­der \( {}25920 \),” Proc. Lon­don Math. Soc. 32 : 1 (1900), pp. 3–​10. MR 1576228 JFM 31.​0143.​02 article

[53]L. E. Dick­son: “Cer­tain sub­groups of the Betti–Math­ieu group,” Amer. J. Math. 22 : 1 (January 1900), pp. 49–​54. MR 1507867 JFM 31.​0142.​03 article

[54]L. E. Dick­son: “Ca­non­ic­al form of a lin­ear ho­mo­gen­eous sub­sti­tu­tion in a Galois field,” Amer. J. Math. 22 : 2 (April 1900), pp. 121–​137. MR 1507868 JFM 31.​0140.​02 article

[55]L. E. Dick­son: “De­term­in­a­tion of an ab­stract simple group of or­der \( {}2^7\cdot3^6\cdot 5\cdot 7 \) holoedric­ally iso­morph­ic with a cer­tain or­tho­gon­al group and with a cer­tain hy­pe­r­a­beli­an group,” Trans. Am. Math. Soc. 1 : 3 (July 1900), pp. 353–​370. Er­rata pub­lished in Trans. Am. Math. Soc. 1:4 (1900). MR 1500543 JFM 31.​0140.​01 article

[56]L. E. Dick­son: “Iso­morph­ism between cer­tain sys­tems of simple lin­ear groups,” Bull. Am. Math. Soc. 6 : 8 (1900), pp. 323–​328. MR 1557719 JFM 31.​0139.​01 article

[57]L. E. Dick­son: “Con­cern­ing the cyc­lic sub­groups of the simple group \( G \) of all lin­ear frac­tion­al sub­sti­tu­tions of de­term­in­ant unity in two non-ho­mo­gen­eous vari­ables with coef­fi­cients in an ar­bit­rary Galois field,” Amer. J. Math. 22 : 3 (1900), pp. 231–​252. MR 1505834 article

[58]L. E. Dick­son: “Lin­ear sub­sti­tu­tions com­mut­at­ive with a giv­en sub­sti­tu­tion,” Proc. Lon­don Math. Soc. 32 : 1 (1900), pp. 165–​170. MR 1576218 JFM 31.​0140.​03 article

[59]L. E. Dick­son: “Book re­view: The ele­ments of the dif­fer­en­tial and in­teg­ral cal­cu­lus,” Bull. Am. Math. Soc. 6 : 8 (1900), pp. 348–​351. Book by J. W. A. Young and C. E. Line­barger (Ap­pleton, 1900). MR 1557724 article

[60]L. E. Dick­son: “Dis­tri­bu­tion of the tern­ary lin­ear ho­mo­gen­eous sub­sti­tu­tions in a Galois field in­to com­plete sets of con­jug­ate sub­sti­tu­tions,” Amer. J. Math. 23 : 1 (January 1901), pp. 37–​40. MR 1505848 JFM 32.​0134.​01 article

[61]L. E. Dick­son: “On sys­tems of iso­therm­al curves,” Amer. Math. Mon. 8 : 10 (October 1901), pp. 187–​192. MR 1515374 JFM 32.​0564.​02 article

[62]L. E. Dick­son: Lin­ear groups with an ex­pos­i­tion of the Galois field the­ory. Sammlung von Lehr­büch­ern VI. B. G. Teub­n­er (Leipzig and Ber­lin), 1901. Re­pub­lished in 1958. JFM 32.​0128.​01 book

[63]L. E. Dick­son: “The al­tern­at­ing group on eight let­ters and the qua­tern­ary lin­ear con­gru­ence group mod­ulo two,” Math. Ann. 54 : 4 (1901), pp. 564–​569. MR 1511128 JFM 32.​0130.​01 article

[64]L. E. Dick­son: “The­ory of lin­ear groups in an ar­bit­rary field,” Trans. Am. Math. Soc. 2 : 4 (1901), pp. 363–​394. Er­rata pub­lished in Trans. Am. Math. Soc. 3:4 (1902). French trans­la­tion pub­lished in C. R. Acad. Sci. Par­is 132 (1901). MR 1500573 JFM 32.​0131.​03 article

[65]L. E. Dick­son: “A class of groups in an ar­bit­rary realm con­nec­ted with the con­fig­ur­a­tion of the \( {}27 \) lines on a cu­bic sur­face,” Quart. J. Pure Ap­pl. Math. 33 (1901), pp. 145–​173. JFM 32.​0133.​01 article

[66]L. E. Dick­son: “Théor­ie des groupes linéaires dans un do­maine ar­bit­raire de ra­tion­al­ité” [The­ory of lin­ear groups in an ar­bit­rary do­main of ra­tion­al­ity], C. R. Acad. Sci. Par­is 132 (1901), pp. 1547–​1548. French trans­la­tion of art­icle in Trans. Am. Math. Soc. 2:4 (1901). JFM 32.​0131.​02 article

[67]L. E. Dick­son: “Con­cern­ing real and com­plex con­tinu­ous groups,” Bull. Am. Math. Soc. 7 : 8 (1901), pp. 340–​350. MR 1557812 JFM 32.​0135.​01 article

[68]L. E. Dick­son: “Rep­res­ent­a­tion of lin­ear groups as trans­it­ive sub­sti­tu­tion groups,” Amer. J. Math. 23 : 4 (October 1901), pp. 337–​377. MR 1505871 JFM 32.​0134.​03 article

[69]L. E. Dick­son: “Con­cern­ing the Abeli­an and re­lated lin­ear groups,” Proc. Lon­don Math. Soc. 33 : 1 (1901), pp. 313–​325. MR 1575746 JFM 32.​0131.​01 article

[70]L. E. Dick­son: “Ca­non­ic­al forms of qua­tern­ary abeli­an sub­sti­tu­tions in an ar­bit­rary Galois field,” Trans. Am. Math. Soc. 2 : 2 (1901), pp. 103–​138. MR 1500559 JFM 32.​0130.​02 article

[71]L. E. Dick­son: “The con­fig­ur­a­tions of the \( {}27 \) lines on a cu­bic sur­face and the \( {}28 \) bit­an­gents to a quart­ic curve,” Bull. Am. Math. Soc. 8 : 2 (1901), pp. 63–​70. MR 1557844 JFM 32.​0492.​01 article

[72]L. E. Dick­son: “Er­rata: ‘The groups of Stein­er in prob­lems of con­tact’,” Trans. Am. Math. Soc. 3 : 4 (October 1902), pp. 500. Er­rata for art­icle in Trans. Am. Math. Soc. 3:1 (1902). MR 1500454 article

[73]L. E. Dick­son: “Er­rata: ‘The­ory of lin­ear groups in an ar­bit­rary field’,” Trans. Am. Math. Soc. 3 : 4 (October 1902), pp. 500. Er­rata for art­icle in Trans. Am. Math. Soc. 2:4 (1901). MR 1500452 article

[74]L. E. Dick­son: “A class of simply trans­it­ive lin­ear groups,” Bull. Am. Math. Soc. 8 : 9 (1902), pp. 394–​401. MR 1557918 JFM 33.​0153.​01 article

[75]L. E. Dick­son: “A mat­rix defined by the qua­ternion group,” Amer. Math. Mon. 9 : 11 (November 1902), pp. 243–​248. MR 1515712 JFM 34.​0185.​02 article

[76]L. E. Dick­son: Col­lege al­gebra. J. Wiley & Sons (New York), 1902. JFM 33.​0188.​04 book

[77]L. E. Dick­son: “Book re­view: Élé­ments de la théor­ie des nombres,” Bull. Am. Math. Soc. 8 : 6 (1902), pp. 257–​259. Book by E. Ca­hen (Gau­th­i­er-Vil­lars, 1900). MR 1557888 article

[78]L. E. Dick­son: “Geo­met­ric de­riv­a­tion of cer­tain tri­go­no­met­ric for­mu­lae,” Amer. Math. Mon. 9 : 2 (February 1902), pp. 36–​37. MR 1515484 article

[79]L. E. Dick­son: “The or­der of a cer­tain sen­ary lin­ear group,” Amer. Math. Mon. 9 : 6–​7 (June–July 1902), pp. 149–​152. MR 1515614 article

[80]L. E. Dick­son: “The­or­ems on the residues of mul­ti­no­mi­al coef­fi­cients with re­spect to a prime mod­u­lus,” Quart. J. Pure Ap­pl. Math. 33 (1902), pp. 378–​384. JFM 33.​0203.​02 article

[81]L. E. Dick­son: “Lin­ear groups in an in­fin­ite field,” Proc. Lon­don Math. Soc. 34 : 1 (1902), pp. 185–​205. MR 1575497 JFM 33.​0152.​01 article

[82]L. E. Dick­son: “On the group defined for any giv­en field by the mul­ti­plic­a­tion table of any giv­en fi­nite group,” Trans. Am. Math. Soc. 3 : 3 (1902), pp. 285–​301. MR 1500600 JFM 33.​0150.​01 article

[83]L. E. Dick­son: “The groups of Stein­er in prob­lems of con­tact (Second pa­per),” Trans. Am. Math. Soc. 3 : 3 (July 1902), pp. 377–​382. The ori­gin­al art­icle was pub­lished in Trans. Am. Math. Soc. 3:1 (1902). MR 1500607 JFM 33.​0153.​03 article

[84]L. E. Dick­son: “The hyper­ortho­gon­al groups,” Math. Ann. 55 : 4 (1902), pp. 521–​572. MR 1511162 JFM 33.​0151.​02 article

[85]L. E. Dick­son: “Ninth sum­mer meet­ing of the Amer­ic­an Math­em­at­ic­al So­ci­ety,” Amer. Math. Mon. 9 : 8–​9 (August–September 1902), pp. 185–​187. MR 1515644 article

[86]L. E. Dick­son: “Factors of a cer­tain de­term­in­ant of or­der six,” Amer. Math. Mon. 9 : 3 (March 1902), pp. 66–​68. MR 1515512 article

[87]L. E. Dick­son: “Er­rata: ‘Ca­non­ic­al forms of qua­tern­ary abeli­an sub­sti­tu­tions in an ar­bit­rary Galois field’,” Trans. Am. Math. Soc. 3 : 4 (1902), pp. 499. Er­rata for art­icle in Trans. Am. Math. Soc. 2:2 (1901). MR 1500448 article

[88]L. E. Dick­son: “The groups of Stein­er in prob­lems of con­tact,” Trans. Am. Math. Soc. 3 : 1 (1902), pp. 38–​45. A second art­icle with this title was pub­lished in Trans. Am. Math. Soc. 3:3 (1902). Er­rata were pub­lished in Trans. Am. Math. Soc. 3:4 (1902). MR 1500585 JFM 33.​0153.​02 article

[89]L. E. Dick­son: “Book re­view: Es­says on the the­ory of num­bers: I: Con­tinu­ity and ir­ra­tion­al num­bers, II: The nature and mean­ing of num­bers,” Bull. Am. Math. Soc. 8 : 6 (1902), pp. 259–​260. Book by R. Dede­kind (Open Court, 1901). MR 1557889 article

[90]L. E. Dick­son: “Ca­non­ic­al form of a lin­ear ho­mo­gen­eous trans­form­a­tion in an ar­bit­rary realm of ra­tion­al­ity,” Amer. J. Math. 24 : 2 (April 1902), pp. 101–​108. MR 1507871 JFM 33.​0151.​01 article

[91]L. E. Dick­son: “Cyc­lic sub­groups of the simple tern­ary lin­ear frac­tion­al group in a Galois field,” Amer. J. Math. 24 : 1 (January 1902), pp. 1–​12. MR 1505877 article

[92]L. E. Dick­son: “The known sys­tems of simple groups and their inter-iso­morph­isms,” pp. 225–​229 in Compte rendu du deux­ième Con­grès In­ter­na­tion­al des Math­ématiciens (Par­is, Au­gust 6–12, 1900). Edi­ted by E. Dupor­cq. Gau­th­i­er-Vil­lars (Par­is), 1902. JFM 32.​0136.​01 incollection

[93]L. E. Dick­son: “An ele­ment­ary ex­pos­i­tion of Frobeni­us’s the­ory of group-char­ac­ters and group-de­term­in­ants,” Ann. Math. (2) 4 : 1 (1902), pp. 25–​49. MR 1502293 JFM 33.​0149.​03 article

[94]L. E. Dick­son: “Three sets of gen­er­a­tion­al re­la­tions de­fin­ing the ab­stract simple group of or­der \( {}504 \),” Bull. Am. Math. Soc. 9 : 4 (1903), pp. 194–​204. MR 1557975 JFM 34.​0166.​01 article

[95]L. E. Dick­son: “Gen­er­a­tion­al re­la­tions de­fin­ing the ab­stract simple group of or­der \( {}660 \),” Bull. Am. Math. Soc. 9 : 4 (1903), pp. 204–​206. MR 1557976 JFM 34.​0166.​02 article

[96]L. E. Dick­son: “Defin­i­tions of a lin­ear as­so­ci­at­ive al­gebra by in­de­pend­ent pos­tu­lates,” Trans. Am. Math. Soc. 4 : 1 (1903), pp. 21–​26. MR 1500620 JFM 34.​0090.​02 article

[97]L. E. Dick­son: “On the groups defined for an ar­bit­rary field by the mul­ti­plic­a­tion tables of cer­tain fi­nite groups,” Proc. Lon­don Math. Soc. 35 : 1 (1903), pp. 68–​80. MR 1577021 JFM 34.​0164.​01 article

[98]L. E. Dick­son: “A gen­er­al­iz­a­tion of sym­met­ric and skew-sym­met­ric de­term­in­ants,” Amer. Math. Mon. 10 : 12 (December 1903), pp. 253–​256. MR 1516012 article

[99]L. E. Dick­son: “Fields whose ele­ments are lin­ear dif­fer­en­tial ex­pres­sions,” Bull. Am. Math. Soc. 10 : 1 (1903), pp. 30–​31. MR 1558044 JFM 34.​0172.​01 article

[100]L. E. Dick­son: “On the sub­groups of or­der a power of \( p \) in the qua­tern­ary abeli­an group in the Galois field of or­der \( p^n \),” Trans. Am. Math. Soc. 4 : 4 (October 1903), pp. 371–​386. Er­rata pub­lished in Trans. Am. Math. Soc. 5:4 (1904). MR 1500648 JFM 34.​0167.​03 article

[101]L. E. Dick­son: “Defin­i­tions of a field by in­de­pend­ent pos­tu­lates,” Trans. Am. Math. Soc. 4 : 1 (1903), pp. 13–​20. Er­rata pub­lished in Trans. Am. Math. Soc. 5:4 (1904). MR 1500619 JFM 34.​0160.​02 article

[102]L. E. Dick­son: In­tro­duc­tion to the the­ory of al­geb­ra­ic equa­tions. J. Wiley & Sons (New York), 1903. JFM 34.​0210.​03 book

[103]L. E. Dick­son: “The ab­stract group \( G \) simply iso­morph­ic with the al­tern­at­ing group on six let­ters,” Bull. Am. Math. Soc. 9 : 6 (1903), pp. 303–​306. MR 1557995 JFM 34.​0167.​01 article

[104]L. E. Dick­son: “The ab­stract group simply iso­morph­ic with the group of lin­ear frac­tion­al trans­form­a­tions in a Galois field,” Proc. Lon­don Math. Soc. 35 : 1 (1903), pp. 292–​305. MR 1576999 JFM 34.​0165.​01 article

[105]L. E. Dick­son: “On the re­du­cib­il­ity of lin­ear groups,” Trans. Am. Math. Soc. 4 : 4 (1903), pp. 434–​436. MR 1500653 JFM 34.​0168.​01 article

[106]L. E. Dick­son: “Gen­er­a­tion­al re­la­tions of an ab­stract simple group of or­der \( {}4080 \),” Proc. Lon­don Math. Soc. 35 : 1 (1903), pp. 306–​319. MR 1577001 JFM 34.​0165.​02 article

[107]L. E. Dick­son: Tern­ary or­tho­gon­al group in a gen­er­al field. Uni­versity of Chi­gago Press, 1903. This mono­graph and Groups defined for a gen­er­al field by the ro­ta­tion groups (1903) were pub­lished to­geth­er in 1904 as a single book. JFM 34.​0162.​02 book

[108]L. E. Dick­son: “Three al­geb­ra­ic notes,” Amer. Math. Mon. 10 : 10 (October 1903), pp. 219–​226. MR 1515976 article

[109]L. E. Dick­son: Groups defined for a gen­er­al field by the ro­ta­tion groups. Uni­versity of Chi­gago Press, 1903. This mono­graph and Tern­ary or­tho­gon­al group in a gen­er­al field (1903) were pub­lished to­geth­er in 1904 as a single book. JFM 34.​0163.​01 book

[110]L. E. Dick­son: “Gen­er­a­tion­al re­la­tions for the ab­stract group simply iso­morph­ic with the lin­ear frac­tion­al group in the \( GF[2^n] \),” Proc. Lon­don Math. Soc. 35 : 1 (1903), pp. 443–​454. MR 1577013 JFM 34.​0167.​02 article

[111]L. E. Dick­son: “Book re­view: Niedere Zah­len­the­or­ie, er­ster Teil,” Bull. Am. Math. Soc. 9 : 10 (1903), pp. 555–​556. Book by P. Bach­mann (Teub­n­er, 1902). MR 1558032 article

[112]L. E. Dick­son: “Book re­view: Lini­engeo­met­rie mit An­wendun­gen,” Bull. Am. Math. Soc. 9 : 10 (1903), pp. 561–​562. Book by K. Zind­ler (Göschen, 1902). MR 1558036 article

[113]L. E. Dick­son: “Book re­view: Élé­ments de la théor­ie des groupes ab­straits,” Bull. Am. Math. Soc. 11 : 3 (1904), pp. 159–​162. Book by J.-A. de Séguier (Gau­th­i­er-Vil­lars, 1904). MR 1558181 article

[114]L. E. Dick­son: “Book re­view: An in­tro­duc­tion to the mod­ern the­ory of equa­tions,” Bull. Am. Math. Soc. 11 : 3 (1904), pp. 163–​164. Book by F. Ca­jori (Mac­mil­lan, 1904). MR 1558182 article

[115]L. E. Dick­son: “De­term­in­a­tion of all the sub­groups of the known simple group of or­der \( {}25920 \),” Trans. Am. Math. Soc. 5 : 2 (April 1904), pp. 126–​166. Er­rata were pub­lished in Trans. Am. Math. Soc. 5:4 (1904). MR 1500666 JFM 35.​0167.​02 article

[116]L. E. Dick­son: “Two sys­tems of sub­groups of the qua­tern­ary Abeli­an group in a gen­er­al Galois field,” Bull. Am. Math. Soc. 10 : 4 (1904), pp. 178–​184. MR 1558086 JFM 35.​0169.​02 article

[117]L. E. Dick­son: 1: Tern­ary or­tho­gon­al groups in a gen­er­al field. 2: The groups defined for a gen­er­al field by the ro­ta­tion group. Uni­versity of Chi­gago Press, 1904. Com­bined re­pub­lic­a­tion of the mono­graphs Tern­ary or­tho­gon­al group in a gen­er­al field (1903) and Groups defined for a gen­er­al field by the ro­ta­tion groups (1903). JFM 35.​0181.​04 book

[118]L. E. Dick­son: “The sub­groups of or­der a power of \( {}2 \) of the simple quin­ary or­tho­gon­al group in the Galois field of or­der \( p^n=8l\pm 3 \),” Trans. Am. Math. Soc. 5 : 1 (January 1904), pp. 1–​38. Er­rata were pub­lished in Trans. Am. Math. Soc. 5:4 (1904). MR 1500658 JFM 35.​0167.​01 article

[119]L. E. Dick­son: “On the min­im­um de­gree of re­solvents for the \( p \)-sec­tion of the peri­ods of hy­per­el­lipt­ic func­tions of four peri­ods,” Deutsche Math.-Ver. 13 (1904), pp. 559–​560. Avail­able open access here. JFM 35.​0166.​02 article

[120]L. E. Dick­son: “Book re­view: Funk­tion­en­the­or­et­ische Vor­le­sun­gen,” Bull. Am. Math. Soc. 10 : 6 (1904), pp. 317–​321. Book by H. Burkhardt (Veit and Co., 1903). MR 1558115 article

[121]L. E. Dick­son: “Ad­di­tion to the pa­per on the four known simple lin­ear groups of or­der \( {}25920 \),” Proc. Lon­don Math. Soc. 1 : 1 (1904), pp. 283–​284. MR 1576780 JFM 35.​0168.​01 article

[122]L. E. Dick­son: “Ap­plic­a­tion of groups to a com­plex prob­lem in ar­range­ments,” Ann. Math. (2) 6 : 1 (October 1904), pp. 31–​44. MR 1503507 JFM 35.​0168.​02 article

[123]L. E. Dick­son: “A new ex­ten­sion of Di­rich­let’s the­or­em on prime num­bers,” Mes­sen­ger of Math­em­at­ics 38 (1904), pp. 155–​161. Avail­able open access here. JFM 35.​0204.​03 article

[124]L. E. Dick­son: “Er­rata: ‘On the sub­groups of or­der a power of \( p \) in the qua­tern­ary abeli­an group in the Galois field of or­der \( p^n \),” Trans. Am. Math. Soc. 5 : 4 (1904), pp. 550–​551. Er­rata for art­icle in Trans. Am. Math. Soc. 4:4 (1903). MR 1500465 article

[125]L. E. Dick­son: “Er­rata: ‘Defin­i­tions of a field by in­de­pend­ent pos­tu­lates’,” Trans. Am. Math. Soc. 5 : 4 (1904), pp. 549–​550. Er­rata for art­icle in Trans. Am. Math. Soc. 4:1 (1903). MR 1500461 article

[126]L. E. Dick­son: “Er­rata: ‘The sub­groups of or­der a power of \( {}2 \) of the simple quin­ary or­tho­gon­al group in the Galois field of or­der \( p^n=8l\pm3 \),” Trans. Am. Math. Soc. 5 : 4 (1904), pp. 551. Er­rata for pa­per pub­lished in Trans. Am. Math. Soc. 5:1 (1904). MR 1500468 article

[127]L. E. Dick­son: “Er­rata: ‘De­term­in­a­tion of all the sub­groups of the known simple group of or­der \( {}25920 \),” Trans. Am. Math. Soc. 5 : 4 (1904), pp. 551. Er­rata for art­icle pub­lished in Trans. Am. Math. Soc. 5:2 (1904). MR 1500469 article

[128]L. E. Dick­son: “De­term­in­a­tion of all groups of bin­ary lin­ear sub­sti­tu­tions with in­teg­ral coef­fi­cients taken mod­ulo \( {}3 \) and of de­term­in­ant unity,” Ann. Math. (2) 5 : 3 (1904), pp. 140–​144. MR 1503536 JFM 35.​0169.​01 article

[129]L. E. Dick­son: “Book re­view: Vor­le­sun­gen über Al­gebra,” Bull. Am. Math. Soc. 10 : 5 (1904), pp. 257–​260. Book by G. Bauer (Teub­n­er, 1903). MR 1558104 article

[130]L. E. Dick­son: “Mem­oir on Abeli­an trans­form­a­tions,” Amer. J. Math. 26 : 3 (July 1904), pp. 243–​318. MR 1507875 JFM 35.​0166.​01 article

[131]L. E. Dick­son: “A prop­erty of the group \( G_2^{2n} \) all of whose op­er­at­ors ex­cept iden­tity are of peri­od \( {}2 \),” Amer. Math. Mon. 11 : 11 (November 1904), pp. 203–​206. MR 1516217 JFM 35.​0181.​03 article

[132]L. E. Dick­son: “On the sub­groups of or­der a power of \( p \) in the lin­ear ho­mo­gen­eous and frac­tion­al groups in the \( \mathit{GF}[p^n] \),” Bull. Am. Math. Soc. 10 : 8 (1904), pp. 385–​397. MR 1558132 JFM 35.​0170.​01 article

[133]L. E. Dick­son: “The min­im­um de­gree \( \tau \) of re­solvents for the \( p \)-sec­tion of the peri­ods of hy­per­el­lipt­ic func­tions of four peri­ods,” Trans. Am. Math. Soc. 6 : 1 (January 1905), pp. 48–​57. MR 1500693 JFM 36.​0508.​06 article

[134]L. E. Dick­son: “De­term­in­a­tion of the tern­ary mod­u­lar groups,” Amer. J. Math. 27 : 2 (April 1905), pp. 189–​202. MR 1505964 JFM 36.​0208.​01 article

[135]L. E. Dick­son: “On hy­per­com­plex num­ber sys­tems,” Trans. Am. Math. Soc. 6 : 3 (1905), pp. 344–​348. MR 1500716 JFM 36.​0139.​02 article

[136]L. E. Dick­son: “On fi­nite al­geb­ras,” Na­chr. Ges. Wiss. Göt­tin­gen (1905), pp. 358–​393. JFM 36.​0138.​03 article

[137]L. E. Dick­son: “On the class of the sub­sti­tu­tions of vari­ous lin­ear groups,” Bull. Am. Math. Soc. 11 : 8 (1905), pp. 426–​432. MR 1558235 JFM 36.​0210.​02 Zbl 0960.​14005 article

[138]L. E. Dick­son: “Graph­ic­al meth­ods in tri­go­no­metry,” Amer. Math. Mon. 12 : 6–​7 (June–July 1905), pp. 129–​133. MR 1516377 article

[139]L. E. Dick­son: “A gen­er­al the­or­em on al­geb­ra­ic num­bers,” Bull. Am. Math. Soc. 11 : 9 (1905), pp. 482–​486. MR 1558248 JFM 36.​0139.​03 article

[140]L. E. Dick­son: “Er­rata: ‘Defin­i­tions of a group and a field by in­de­pend­ent pos­tu­lates’,” Trans. Am. Math. Soc. 6 : 4 (October 1905), pp. 547. Er­rata for an art­icle in Trans. Am. Math. Soc. 6:2 (1905). MR 1500477 article

[141]L. E. Dick­son: “On the real ele­ments of cer­tain classes of geo­met­ric­al con­fig­ur­a­tions,” Ann. Math. (2) 6 : 4 (1905), pp. 141–​150. MR 1503554 JFM 36.​0209.​01 article

[142]L. E. Dick­son: “Ex­pres­sions for the ele­ments of a de­term­in­ant in terms of the minors of a giv­en or­der. Gen­er­al­iz­a­tion of a the­or­em due to Stud­nicka,” Amer. Math. Mon. 12 : 12 (December 1905), pp. 217–​221. MR 1516491 article

[143]L. E. Dick­son: “The group of a tac­tic­al con­fig­ur­a­tion,” Bull. Am. Math. Soc. 11 : 4 (1905), pp. 177–​179. MR 1558199 JFM 36.​0210.​01 article

[144]L. E. Dick­son: “De­term­in­a­tion of all the sub­groups of the three highest powers of \( p \) in the group \( G \) of all \( m \)-ary lin­ear ho­mo­gen­eous trans­form­a­tions mod­ulo \( p \),” Quart. J. Pure Ap­pl. Math. 36 (1905), pp. 373–​384. JFM 36.​0208.​03 article

[145]L. E. Dick­son: “Book re­view: In­tro­duc­tion à la théor­ie des fonc­tions d’une vari­able,” Bull. Am. Math. Soc. 11 : 10 (1905), pp. 557–​559. Book by J. Tan­nery (Her­mann, 1904). MR 1558260 article

[146]L. E. Dick­son: “A new sys­tem of simple groups,” Math. Ann. 60 : 1 (1905), pp. 137–​150. JFM 36.​0206.​01 article

[147]L. E. Dick­son: “Sub­groups of or­der a power of \( p \) in the gen­er­al and spe­cial \( m \)-ary lin­ear ho­mo­gen­eous groups in the \( \mathit{GF}[p^n] \),” Amer. J. Math. 27 : 3 (July 1905), pp. 280–​302. MR 1507878 JFM 36.​0208.​02 article

[148]L. E. Dick­son: “On semi-groups and the gen­er­al iso­morph­ism between in­fin­ite groups,” Trans. Am. Math. Soc. 6 : 2 (1905), pp. 205–​208. MR 1500707 JFM 36.​0207.​02 article

[149]L. E. Dick­son: “Defin­i­tions of a group and a field by in­de­pend­ent pos­tu­lates,” Trans. Am. Math. Soc. 6 : 2 (1905), pp. 198–​204. Er­rata pub­lished in Trans. Am. Math. Soc. text­bf{6}:4 (1905). MR 1500706 JFM 36.​0207.​01 article

[150]L. E. Dick­son: “On the cyc­lo­tom­ic func­tion,” Amer. Math. Mon. 12 : 4 (April 1905), pp. 86–​89. MR 1516323 article

[151]L. E. Dick­son: “Lin­ear al­geb­ras in which di­vi­sion is al­ways uniquely pos­sible,” Trans. Am. Math. Soc. 7 : 3 (1906), pp. 370–​390. MR 1500755 JFM 37.​0111.​06 article

[152]L. E. Dick­son: “On com­mut­at­ive lin­ear al­geb­ras in which di­vi­sion is al­ways uniquely pos­sible,” Trans. Am. Math. Soc. 7 : 4 (1906), pp. 514–​522. MR 1500764 JFM 37.​0112.​01 article

[153]L. E. Dick­son: “On lin­ear al­geb­ras,” Amer. Math. Mon. 13 : 11 (November 1906), pp. 201–​205. MR 1516696 JFM 37.​0115.​03 article

[154]L. E. Dick­son: “On the qua­tern­ary lin­ear ho­mo­gen­eous groups mod­ulo \( p \) of or­der a mul­tiple of \( p \),” Amer. J. Math. 28 : 1 (1906), pp. 1–​16. MR 1505980 JFM 37.​0173.​01 article

[155]L. E. Dick­son: “The ab­stract form of the spe­cial lin­ear ho­mo­gen­eous group in an ar­bit­rary field,” Quart. J. Pure Ap­pl. Math. 38 (1906), pp. 141–​145. JFM 38.​0181.​01 article

[156]L. E. Dick­son: “The ab­stract form of the Abeli­an lin­ear groups,” Quart. J. Pure Ap­pl. Math. 38 (1906), pp. 145–​158. JFM 38.​0181.​02 article

[157]L. E. Dick­son: “On the the­ory of equa­tions in a mod­u­lar field,” Bull. Am. Math. Soc. 13 : 1 (1906), pp. 8–​10. MR 1558391 JFM 37.​0173.​02 article

[158]L. E. Dick­son: “Cri­ter­ia for the ir­re­du­cib­il­ity of func­tions in a fi­nite field,” Bull. Am. Math. Soc. 13 : 1 (1906), pp. 1–​8. MR 1558390 JFM 37.​0094.​01 article

[159]L. E. Dick­son: “On quad­rat­ic, Her­mitian and bi­lin­ear forms,” Trans. Am. Math. Soc. 7 : 2 (1906), pp. 275–​292. MR 1500749 JFM 37.​0137.​01 article

[160]L. E. Dick­son: “Mod­u­lar the­ory of group char­ac­ters,” Bull. Am. Math. Soc. 13 : 10 (1907), pp. 477–​488. MR 1558503 JFM 38.​0180.​01 article

[161]L. E. Dick­son: “On quad­rat­ic forms in a gen­er­al field,” Bull. Am. Math. Soc. 14 : 3 (1907), pp. 108–​115. MR 1558550 JFM 38.​0182.​02 article

[162]L. E. Dick­son: “In­vari­ants of bin­ary forms un­der mod­u­lar trans­form­a­tions,” Trans. Am. Math. Soc. 8 : 2 (1907), pp. 205–​232. Er­rata pub­lished in Trans. Am. Math. Soc. 8:4 (1907). MR 1500782 JFM 38.​0147.​02 article

[163]L. E. Dick­son: “Mod­u­lar the­ory of group-matrices,” Trans. Am. Math. Soc. 8 : 3 (1907), pp. 389–​398. MR 1500793 JFM 38.​0180.​02 article

[164]L. E. Dick­son: “In­vari­ants of the gen­er­al quad­rat­ic form mod­ulo \( {}2 \),” Proc. Lon­don Math. Soc. (2) 5 : 1 (1907), pp. 301–​324. MR 1577339 JFM 38.​0150.​01 article

[165]L. E. Dick­son: “Er­rata: ‘In­vari­ants of bin­ary forms un­der mod­u­lar trans­form­a­tions’,” Trans. Am. Math. Soc. 8 : 4 (1907), pp. 535. Er­rata for art­icle in Trans. Am. Math. Soc. 8:2 (1907). MR 1500482 article

[166]L. E. Dick­son: “Note on the volume of a tet­ra­hed­ron in terms of the co­ordin­ates of the ver­tices,” Amer. Math. Mon. 14 : 6–​7 (1907), pp. 117–​118. MR 1516848 article

[167]L. E. Dick­son: “Book re­views: Zah­len­the­or­ie and Ein­lei­tung in die allge­meine The­or­ie der Al­geb­rais­chen Grössen,” Bull. Am. Math. Soc. 13 : 7 (1907), pp. 348–​362. Books by P. Bach­mann (Teub­n­er, 1905) and J. König (Teub­n­er, 1903). MR 1558477 article

[168]L. E. Dick­son: “The sym­met­ric group on eight let­ters and the sen­ary first hy­poabeli­an group,” Bull. Am. Math. Soc. 13 : 8 (1907), pp. 386–​389. MR 1558486 JFM 38.​0182.​01 article

[169]L. E. Dick­son: “On the last the­or­em of Fer­mat,” Mes­sen­ger of Math­em­at­ics 38 (1908), pp. 14–​32. Part II pub­lished in Quart. J. Pure Ap­pl. Math. 40 (1908). JFM 39.​0260.​01 article

[170]L. E. Dick­son: “On fam­il­ies of quad­rat­ic forms in a gen­er­al field,” Quart. J. Pure Ap­pl. Math. 39 (1908), pp. 316–​333. JFM 39.​0148.​01 article

[171]L. E. Dick­son: “The Galois group of a re­cip­roc­al quart­ic equa­tion,” Amer. Math. Mon. 15 : 4 (April 1908), pp. 71–​78. MR 1517010 JFM 39.​0130.​01 article

[172]L. E. Dick­son: “On the con­gru­ence \( x^n+y^n+z^n=0 \) (mod \( p \)),” J. Reine An­gew. Math. 135 (1908), pp. 134–​141. JFM 39.​0260.​02 article

[173]L. E. Dick­son: “On the last the­or­em of Fer­mat, II,” Quart. J. Pure Ap­pl. Math. 40 (1908), pp. 27–​45. Part I pub­lished in Mes­sen­ger of Math­em­at­ics 38 (1908). JFM 39.​0260.​03 article

[174]L. E. Dick­son: “On the ca­non­ic­al forms and auto­morphs of tern­ary cu­bic forms,” Amer. J. Math. 30 : 2 (April 1908), pp. 117–​128. MR 1506034 JFM 39.​0149.​01 article

[175]L. E. Dick­son: “In­vari­antive re­duc­tion of quad­rat­ic forms in the \( \mathit{GF}[2^n] \),” Amer. J. Math. 30 : 3 (July 1908), pp. 263–​281. MR 1506042 JFM 39.​0146.​01 article

[176]L. E. Dick­son: “On the fac­tor­iz­a­tion of large num­bers,” Amer. Math. Mon. 15 : 12 (December 1908), pp. 217–​222. MR 1517123 JFM 39.​0272.​04 article

[177]L. E. Dick­son: “Rep­res­ent­a­tions of the gen­er­al sym­met­ric group as lin­ear groups in fi­nite and in­fin­ite fields,” Trans. Am. Math. Soc. 9 : 2 (1908), pp. 121–​148. MR 1500805 JFM 39.​0198.​02 article

[178]L. E. Dick­son: “Cri­ter­ia for the ir­re­du­cib­il­ity of a re­cip­roc­al equa­tion,” Bull. Am. Math. Soc. 14 : 9 (1908), pp. 426–​430. MR 1558646 JFM 39.​0121.​01 article

[179]L. E. Dick­son: “On triple al­geb­ras and tern­ary cu­bic forms,” Bull. Am. Math. Soc. 14 : 4 (1908), pp. 160–​169. MR 1558578 JFM 39.​0138.​03 article

[180]L. E. Dick­son: “On high­er con­gru­ences and mod­u­lar in­vari­ants,” Bull. Am. Math. Soc. 14 : 7 (1908), pp. 313–​318. MR 1558615 JFM 39.​0256.​04 article

[181]L. E. Dick­son: “A class of groups in an ar­bit­rary realm con­nec­ted with the con­fig­ur­a­tion of the \( {}27 \) lines on a cu­bic sur­face (second pa­per),” Quart. J. Pure Ap­pl. Math. 39 (1908), pp. 205–​209. JFM 39.​0198.​03 article

[182]L. E. Dick­son: “Com­bin­ants,” Quart. J. Pure Ap­pl. Math. 40 (1908), pp. 349–​365. JFM 40.​0164.​01 article

[183]L. E. Dick­son: “Ra­tion­al edged cuboids with equal volumes and equal sur­faces,” Amer. Math. Mon. 16 : 6–​7 (June–July 1909), pp. 107–​114. MR 1517231 article

[184]L. E. Dick­son and M. Kaba: “On the rep­res­ent­a­tion of num­bers as the sum of two squares,” Amer. Math. Mon. 16 : 5 (May 1909), pp. 85–​87. JFM 40.​0267.​07 article

[185]L. E. Dick­son: “On the rep­res­ent­a­tion of num­bers by mod­u­lar forms,” Bull. Am. Math. Soc. 15 : 7 (1909), pp. 338–​347. MR 1558771 JFM 40.​0269.​01 article

[186]L. E. Dick­son: “On com­mut­at­ive lin­ear groups,” Quart. J. Pure Ap­pl. Math. 40 (1909), pp. 167–​196. JFM 40.​0186.​01 article

[187]L. E. Dick­son: “Equi­val­ence of pairs of bi­lin­ear or quad­rat­ic forms un­der ra­tion­al trans­form­a­tion,” Trans. Am. Math. Soc. 10 : 3 (1909), pp. 347–​360. MR 1500845 JFM 40.​0163.​01 article

[188]L. E. Dick­son: “A the­ory of in­vari­ants,” Amer. J. Math. 31 : 4 (October 1909), pp. 337–​354. MR 1506079 JFM 40.​0157.​01 article

[189]L. E. Dick­son: “Lower lim­it for the num­ber of sets of solu­tions of \( x^e+y^e+z^e \equiv 0 \) (mod \( p \)),” J. Reine An­gew. Math. 135 (1909), pp. 181–​188. JFM 40.​0254.​04 article

[190]L. E. Dick­son: “On cer­tain di­o­phant­ine equa­tions,” Mes­sen­ger of Math­em­at­ics 39 (1909), pp. 86–​87. JFM 40.​0254.​03 article

[191]L. E. Dick­son: “Gen­er­al the­ory of mod­u­lar in­vari­ants,” Trans. Am. Math. Soc. 10 : 2 (1909), pp. 123–​158. MR 1500831 JFM 40.​0158.​01 article

[192]L. E. Dick­son: “Def­in­ite forms in a fi­nite field,” Trans. Am. Math. Soc. 10 : 1 (1909), pp. 109–​122. MR 1500830 JFM 40.​0268.​03 article

[193]L. E. Dick­son: “Ra­tion­al re­duc­tion of a pair of bin­ary quad­rat­ic forms; their mod­u­lar in­vari­ants,” Amer. J. Math. 31 : 2 (April 1909), pp. 103–​146. MR 1506065 JFM 40.​0161.​01 article

[194]L. E. Dick­son: “Book re­view: Di­o­phant­ische Ap­prox­im­a­tion­en: Eine Ein­führung in die Zah­len­the­or­ie,” Bull. Am. Math. Soc. 15 : 5 (1909), pp. 251–​252. Book by H. Minkowski (Teub­n­er, 1907). MR 1558750 article

[195]L. E. Dick­son: “Mod­u­lar in­vari­ants of a gen­er­al sys­tem of lin­ear forms,” Proc. Lon­don Math. Soc. 7 : 1 (1909), pp. 430–​444. MR 1575684 JFM 40.​0160.​01 article

[196]L. E. Dick­son: “Book re­view: Manuscrits de Evariste Galois,” Bull. Am. Math. Soc. 15 : 5 (1909), pp. 249–​250. Book by J. Tan­nery (Gau­th­i­er-Vil­lars, 1908). MR 1558749 article

[197]L. E. Dick­son: “Book re­view: The col­lec­ted math­em­at­ic­al pa­pers of James Joseph Sylvester (Vols. I and II),” Bull. Am. Math. Soc. 15 : 5 (1909), pp. 232–​239. Books by H. F. Baker (Cam­bridge Uni­versity Press, 1904 and 1908). A re­view of Volume III was pub­lished in Bull. Am. Math. Soc. 17:5 (1911). MR 1558745 article

[198]L. E. Dick­son: “On the fac­tor­iz­a­tion of in­teg­ral func­tions with \( p \)-ad­ic coef­fi­cients,” Bull. Am. Math. Soc. 17 : 1 (1910), pp. 19–​23. MR 1558975 JFM 41.​0229.​02 article

[199]L. E. Dick­son: “Book re­view: Factor table for the first ten mil­lions,” Bull. Am. Math. Soc. 17 : 1 (1910), pp. 36–​38. Book by D. N. Lehmer (Carne­gie In­sti­tu­tion, 1909). MR 1558977 article

[200]L. E. Dick­son: “Book re­view: The­or­ie der Al­geb­rais­chen Zah­len,” Bull. Am. Math. Soc. 17 : 1 (1910), pp. 23–​36. Book by K. Hensel (Teub­n­er, 1908). MR 1558976 article

[201]L. E. Dick­son: “On non-van­ish­ing forms,” Quart. J. Pure Ap­pl. Math. 42 (1911), pp. 162–​171. JFM 42.​0138.​01 article

[202]L. E. Dick­son: “Book re­view: Fest­s­chrift zur Fei­er des 100 Ge­burtstages Eduard Kum­mers mit Briefen an seine Mut­ter und an Leo­pold Kro­neck­er,” Bull. Am. Math. Soc. 17 : 7 (1911), pp. 371–​372. Book by K. Hensel (Teub­n­er, 1910). MR 1559074 article

[203]L. E. Dick­son: “Note on cu­bic equa­tions and con­gru­ences,” Ann. Math. (2) 12 : 3 (April 1911), pp. 149–​152. MR 1503562 JFM 42.​0214.​02 article

[204]L. E. Dick­son: “Notes on the the­ory of num­bers,” Amer. Math. Mon. 18 : 5 (May 1911), pp. 109–​111. MR 1517545 JFM 42.​0236.​12 article

[205]L. E. Dick­son: “Note on mod­u­lar in­vari­ants,” Quart. J. Pure Ap­pl. Math. 42 (1911), pp. 158–​161. JFM 42.​0137.​01 article

[206]L. E. Dick­son: “An in­vari­antive in­vest­ig­a­tion of ir­re­du­cible bin­ary mod­u­lar forms,” Trans. Am. Math. Soc. 12 : 1 (1911), pp. 1–​18. MR 1500877 JFM 42.​0134.​02 article

[207]L. E. Dick­son: “A fun­da­ment­al sys­tem of in­vari­ants of the gen­er­al mod­u­lar lin­ear group with a solu­tion of the form prob­lem,” Trans. Am. Math. Soc. 12 : 1 (1911), pp. 75–​98. MR 1500882 JFM 42.​0136.​01 article

[208]L. E. Dick­son: “Bin­ary mod­u­lar groups and their in­vari­ants,” Amer. J. Math. 33 : 1–​4 (January 1911), pp. 175–​192. MR 1507890 JFM 42.​0157.​03 article

[209]L. E. Dick­son: “Book re­view: Di­o­phantus of Al­ex­an­dria,” Bull. Am. Math. Soc. 18 : 2 (1911), pp. 82–​83. Book by T. L. Heath (Cam­bridge Univ. Press, 1910). MR 1559140 article

[210]L. E. Dick­son: “Book re­view: Niedere Zah­len­the­or­ie, zweit­er Teil,” Bull. Am. Math. Soc. 17 : 5 (1911), pp. 255–​256. Book by P. Bach­man (Teub­n­er, 1910). MR 1559037 article

[211]L. E. Dick­son: “Book re­view: The col­lec­ted math­em­at­ic­al pa­pers of James Joseph Sylvester (Vol. III),” Bull. Am. Math. Soc. 17 : 5 (1911), pp. 254–​255. Book by H. F. Baker (Cam­bridge Uni­versity Press, 1909). A re­view of Volumes I and II was pub­lished in Bull. Am. Math. Soc. 15:5 (1909). MR 1559036 article

[212]L. E. Dick­son: “On the neg­at­ive dis­crim­in­ants for which there is a single class of pos­it­ive prim­it­ive bin­ary quad­rat­ic forms,” Bull. Am. Math. Soc. 17 : 10 (1911), pp. 534–​537. MR 1559109 JFM 42.​0239.​06 article

[213]L. E. Dick­son: “Lin­ear al­geb­ras,” Trans. Am. Math. Soc. 13 : 1 (1912), pp. 59–​73. MR 1500905 JFM 43.​0162.​09 article

[214]L. E. Dick­son: “Book re­view: Es­sai de géométrie ana­lytique mod­u­laire a deux di­men­sions,” Bull. Am. Math. Soc. 20 : 2 (1913), pp. 96–​97. Book by G. Arnoux (Gau­th­i­er-Vil­lars, 1911). MR 1559428 article

[215]L. E. Dick­son: “On the rank of a sym­met­ric­al mat­rix,” Bull. Am. Math. Soc. 19 : 9 (1913), pp. 456. Ab­stract only. Ab­stract for art­icle in Ann. Math. 15:1–4 (1913–1914). JFM 44.​0177.​03 article

[216]L. E. Dick­son: “Even abund­ant num­bers,” Amer. J. Math. 35 : 4 (October 1913), pp. 423–​426. MR 1506195 JFM 44.​0221.​01 article

[217]L. E. Dick­son: “Proof of the fi­nite­ness of mod­u­lar co­v­ari­ants,” Trans. Am. Math. Soc. 14 : 3 (1913), pp. 299–​310. An ab­stract was pub­lished in Bull. Am. Math. Soc. 19:9 (1913). MR 1500948 article

[218]L. E. Dick­son: “Fi­nite­ness of the odd per­fect and prim­it­ive abund­ant num­bers with \( n \) dis­tinct prime factors,” Bull. Amer. Math. Soc. 19 : 6 (1913), pp. 285. Ab­stract for art­icle in Amer. J. Math. 35:4 (1913). JFM 44.​0220.​02 article

[219]L. E. Dick­son: “On bin­ary mod­u­lar groups and their in­vari­ants,” Bull. Am. Math. Soc. 20 : 3 (1913), pp. 132–​134. MR 1559435 JFM 44.​0169.​05 article

[220]L. E. Dick­son: “The­or­ems and tables on the sum of the di­visors of a num­ber,” Quart. J. Pure Ap­pl. Math. 44 (1913), pp. 264–​296. JFM 44.​0221.​02 article

[221]L. E. Dick­son: “Am­ic­able num­ber triples,” Amer. Math. Mon. 20 : 3 (1913), pp. 84–​92. MR 1517797 JFM 44.​0247.​13 article

[222]L. E. Dick­son: “The in­vari­ants, semivari­ants and lin­ear co­v­ari­ants of the bin­ary quart­ic form mod­ulo \( {}2 \),” Ann. Math. (2) 15 : 1–​4 (1913–1914), pp. 114–​117. MR 1502467 JFM 45.​0210.​01 article

[223]L. E. Dick­son: “Book re­view: Geo­met­rie der Zah­len,” Bull. Am. Math. Soc. 21 : 3 (1914), pp. 131–​132. Book by H. Minkowski (Teub­n­er, 1910). MR 1559582 article

[224]L. E. Dick­son: “Lin­ear as­so­ci­at­ive al­geb­ras and abeli­an equa­tions,” Trans. Am. Math. Soc. 15 : 1 (1914), pp. 31–​46. MR 1500963 JFM 45.​0189.​03 article

[225]L. E. Dick­son: “On the tri­sec­tion of an angle and the con­struc­tion of reg­u­lar poly­gons of \( {}7 \) and \( {}9 \) sides,” Amer. Math. Mon. 21 : 8 (1914), pp. 259–​262. MR 1518094 JFM 45.​0753.​01 article

[226]L. E. Dick­son: “In­vari­ants in the the­ory of num­bers,” Trans. Am. Math. Soc. 15 : 4 (1914), pp. 497–​503. MR 1500992 JFM 45.​0207.​01 article

[227]L. E. Dick­son: Al­geb­ra­ic in­vari­ants. Math­em­at­ic­al mono­graphs 14. J. Wiley & Sons (New York), 1914. JFM 45.​0196.​10 book

[228]L. E. Dick­son: Lin­ear al­geb­ras. Cam­bridge Tracts in Math­em­at­ics and Math­em­at­ic­al Phys­ics 16. Cam­bridge Uni­versity Press, 1914. Re­pub­lished in 1960. JFM 45.​0189.​01 book

[229]L. E. Dick­son: Ele­ment­ary the­ory of equa­tions. J. Wiley & Sons (New York), 1914. JFM 45.​0162.​02 book

[230]L. E. Dick­son: “Book re­view: Zah­len­the­or­ie,” Bull. Am. Math. Soc. 20 : 5 (1914), pp. 258–​259. Book by K. Hensel (Göschen, 1913). MR 1559479 article

[231]L. E. Dick­son: “Mod­u­lar in­vari­ants of the sys­tem of a bin­ary cu­bic, quad­rat­ic and lin­ear form,” Quart. J. Pure Ap­pl. Math. 45 (1914), pp. 373–​384. JFM 45.​1236.​02 article

[232]L. E. Dick­son: “The points of in­flex­ion of a plane cu­bic curve,” Ann. Math. (2) 16 : 1–​4 (1914–15), pp. 50–​66. MR 1502488 JFM 45.​0838.​02 article

[233]L. E. Dick­son: “Pro­ject­ive clas­si­fic­a­tion of cu­bic sur­faces mod­ulo \( {}2 \),” Ann. Math. (2) 16 : 1–​4 (1914–1915), pp. 139–​157. MR 1502501 JFM 45.​0212.​01 article

[234]L. E. Dick­son: “In­vari­ants, semin­vari­ants, and co­v­ari­ants of the tern­ary and qua­tern­ary quad­rat­ic form mod­ulo \( {}2 \),” Bull. Am. Math. Soc. 21 : 4 (1915), pp. 174–​179. MR 1559607 JFM 45.​0208.​01 article

[235]L. E. Dick­son: “The straight lines on mod­u­lar cu­bic sur­faces,” Proc. Nat. Acad. Sci. U.S.A. 1 : 4 (April 1915), pp. 248–​253. JFM 45.​0212.​02 article

[236]L. E. Dick­son: “In­vari­antive clas­si­fic­a­tion of pairs of con­ics mod­ulo \( {}2 \),” Amer. J. Math. 37 : 4 (October 1915), pp. 355–​358. An ab­stract was pub­lished as Bull. Am. Math. Soc. 22:1 (1915). MR 1506263 JFM 45.​0210.​02 article

[237]L. E. Dick­son: “Quart­ic curves mod­ulo \( {}2 \),” Trans. Am. Math. Soc. 16 : 2 (April 1915), pp. 111–​120. MR 1501003 JFM 45.​0211.​02 article

[238]L. E. Dick­son: “A trib­ute to Mil­dred Len­ora Sander­son,” Amer. Math. Mon. 22 : 8 (1915), pp. 264. MR 1518319 article

[239]L. E. Dick­son: “On the re­la­tion between lin­ear al­geb­ras and con­tinu­ous groups,” Bull. Am. Math. Soc. 22 : 2 (1915), pp. 53–​61. MR 1559711 JFM 45.​0189.​02 article

[240]L. E. Dick­son: “In­vari­antive the­ory of plane cu­bic curves mod­ulo \( {}2 \),” Amer. J. Math. 37 : 2 (April 1915), pp. 107–​116. MR 1506248 JFM 45.​0210.​03 article

[241]L. E. Dick­son: “Book re­view: List of prime num­bers from \( {}1 \) to \( {}10{,}006{,}721 \),” Bull. Am. Math. Soc. 21 : 7 (1915), pp. 355–​356. Book by D. N. Lehmer (Carne­gie In­sti­tu­tion, 1914). MR 1559652 article

[242]L. E. Dick­son: “Geo­met­ric­al and in­vari­antive the­ory of quart­ic curves mod­ulo \( {}2 \),” Amer. J. Math. 37 : 4 (October 1915), pp. 337–​354. MR 1507897 JFM 45.​0211.​01 article

[243]L. E. Dick­son: “Clas­si­fic­a­tion of quart­ic curves, mod­ulo \( {}2 \),” Mes­sen­ger of Math­em­at­ics 44 (1915), pp. 189–​192. JFM 45.​1235.​03 article

[244]L. E. Dick­son: “Re­cent pro­gress in the the­or­ies of mod­u­lar and form­al in­vari­ants and in mod­u­lar geo­metry,” Proc. Nat. Acad. Sci. U.S.A. 1 : 1 (January 1915), pp. 1–​4. JFM 45.​0208.​02 article

[245]L. E. Dick­son: “In­vari­antive clas­si­fic­a­tion of pairs of con­ics mod­ulo \( {}2 \),” Bull. Amer. Math. Soc. 22 : 1 (1915), pp. 4. Ab­stract only. Ab­stract for art­icle in Amer. J. Math. 37:4 (1915). JFM 45.​1361.​01 article

[246]L. E. Dick­son: “Book re­views: The the­ory of num­bers and Di­o­phant­ine ana­lys­is,” Bull. Am. Math. Soc. 22 : 6 (1916), pp. 303–​310. Books by R. D. Car­mi­chael (Wiley, 1914 and 1915). MR 1559782 article

[247]L. E. Dick­son: “An ex­ten­sion of the the­ory of num­bers by means of cor­res­pond­ences between fields,” Bull. Am. Math. Soc. 23 : 3 (1916), pp. 109–​111. MR 1559876 JFM 46.​0171.​01 article

[248]G. A. Miller, H. F. Blich­feldt, and L. E. Dick­son: The­ory and ap­plic­a­tions of fi­nite groups. J. Wiley & Sons (New York), 1916. Re­pub­lished in 1938 and in 1961. JFM 46.​0171.​02 book

[249]L. E. Dick­son: “Fer­mat’s last the­or­em and the ori­gin and nature of the the­ory of al­geb­ra­ic num­bers,” Ann. Math. (2) 18 : 4 (1917), pp. 161–​187. MR 1503597 JFM 46.​0268.​02 article

[250]L. E. Dick­son: “Book re­view: Vom peri­odis­chen Dez­i­m­al­bruch zur Zah­len­the­or­ie,” Bull. Am. Math. Soc. 23 : 7 (1917), pp. 324–​325. Book by A. Leman (Teub­n­er, 1916). MR 1559951 article

[251]L. E. Dick­son: His­tory of the the­ory of num­bers, vol. I: Di­vis­ib­il­ity and prim­al­ity. Carne­gie In­sti­tu­tion (Wash­ing­ton, DC), 1919. See also Volume II and Volume III. Chelsea re­pub­lished in 1966. The whole series was re­pub­lished in 1934. JFM 47.​0100.​04 book

[252]L. E. Dick­son: “On qua­ternions and their gen­er­al­iz­a­tion and the his­tory of the eight square the­or­em. Ad­denda.,” Ann. Math. (2) 20 : 4 (July 1919), pp. 297. Ad­denda to art­icle in Ann. Math. 20:3 (1919). MR 1502566 article

[253]L. E. Dick­son: “On qua­ternions and their gen­er­al­iz­a­tion and the his­tory of the eight square the­or­em,” Ann. Math. (2) 20 : 3 (1919), pp. 155–​171. Ad­denda pub­lished in Ann. Math. 20:4 (1919). MR 1502549 article

[254]L. E. Dick­son: “Math­em­at­ics in war per­spect­ive: Pres­id­en­tial ad­dress de­livered be­fore the Amer­ic­an Math­em­at­ic­al So­ci­ety, Decem­ber 27, 1918,” Bull. Am. Math. Soc. 25 : 7 (1919), pp. 289–​311. MR 1560190 JFM 47.​0046.​06 article

[255]L. E. Dick­son: “Ap­plic­a­tions of the geo­metry of num­bers to al­geb­ra­ic num­bers,” Bull. Am. Math. Soc. 25 : 10 (1919), pp. 453–​455. MR 1560222 JFM 47.​0894.​01 article

[256]L. E. Dick­son: “Les poly­nomes égaux à des déter­min­ants,” C. R. Acad. Sci. Par­is 171 (1920), pp. 1360–​1362. JFM 47.​0080.​04 article

[257]L. E. Dick­son: His­tory of the the­ory of num­bers, vol. II: Di­o­phant­ine ana­lys­is. Carne­gie In­sti­tu­tion (Wash­ing­ton, DC), 1920. See also Volume I and \xlink{Volume III|}. Chelsea re­pub­lished in 1966. The whole series was re­pub­lished in 1934. book

[258]L. E. Dick­son: “Fal­la­cies and mis­con­cep­tions in Di­o­phant­ine ana­lys­is,” Bull. Am. Math. Soc. 27 : 7 (1921), pp. 312–​319. MR 1560425 JFM 48.​0137.​03 article

[259]L. E. Dick­son: “Re­du­cible cu­bic forms ex­press­ible ra­tion­ally as de­term­in­ants,” Ann. Math. (2) 23 : 1 (1921), pp. 70–​74. MR 1502596 JFM 48.​0099.​04 article

[260]L. E. Dick­son: “Arith­met­ic of qua­ternions,” Bull. Am. Math. Soc. 27 : 7 (1921), pp. 300. Ab­stract only. Ab­stract for art­icle pub­lished in Proc. Lon­don Math. Soc. 20:1 (1922). JFM 48.​0130.​06 article

[261]L. E. Dick­son: “Ho­mo­gen­eous poly­no­mi­als with a mul­ti­plic­a­tion the­or­em,” pp. 215–​230 in Comptes ren­dus du Con­grès In­ter­na­tion­al des Math­ématiciens, 1920 (Stras­bourg, 22–30 Septem­ber 1920). Edi­ted by H. Vil­lat. Éd­ou­ard Privat (Toulouse), 1921. Avail­able open access here. JFM 48.​1134.​09 incollection

[262]L. E. Dick­son: “Qua­ternions and their gen­er­al­iz­a­tions,” Proc. Nat. Acad. Sci. U.S.A. 7 : 4 (1921), pp. 109–​114. JFM 48.​0125.​02 article

[263]L. E. Dick­son: “La com­pos­i­tion des poly­nomes,” C. R. Acad. Sci. Par­is 172 (1921), pp. 636–​640. JFM 48.​0078.​03 article

[264]L. E. Dick­son: “De­term­in­a­tion of all gen­er­al ho­mo­gen­eous poly­no­mi­als ex­press­ible as de­term­in­ants with lin­ear ele­ments,” Trans. Am. Math. Soc. 22 : 2 (1921), pp. 167–​179. MR 1501168 JFM 48.​0099.​02 article

[265]L. E. Dick­son: “Ra­tion­al tri­angles and quad­ri­lat­er­als,” Amer. Math. Mon. 28 : 6–​7 (June–July 1921), pp. 244–​250. MR 1519790 JFM 48.​0667.​04 article

[266]L. E. Dick­son: “Some re­la­tions between the the­ory of num­bers and oth­er branches of math­em­at­ics,” pp. 41–​56 in Comptes ren­dus du Con­grès In­ter­na­tion­al des Math­ématiciens, 1920 (Stras­bourg, 22–30 Septem­ber, 1920). Edi­ted by H. Vil­lat. Éd­ou­ard Privat (Toulouse), 1921. JFM 48.​1151.​01 incollection

[267]L. E. Dick­son: “A new meth­od in Di­o­phant­ine ana­lys­is,” Bull. Am. Math. Soc. 27 : 8 (1921), pp. 353–​365. MR 1560438 JFM 48.​0137.​04 article

[268]L. E. Dick­son: “A fun­da­ment­al sys­tem of co­v­ari­ants of the tern­ary cu­bic form,” Ann. Math. (2) 23 : 1 (Sepbember 1921), pp. 78–​82. MR 1502598 JFM 48.​0099.​03 article

[269]L. E. Dick­son: “Al­geb­ra­ic the­ory of the ex­press­ib­il­ity of cu­bic forms as de­term­in­ants, with ap­plic­a­tion to Di­o­phant­ine ana­lys­is,” Amer. J. Math. 43 : 2 (April 1921), pp. 102–​125. MR 1506433 JFM 48.​0100.​01 article

[270]L. E. Dick­son: A first course in the the­ory of equa­tions. J. Wiley & Sons (New York), 1922. Re­pub­lished in 1939. JFM 48.​0091.​05 book

[271]L. E. Dick­son: “Im­possib­il­ity of restor­ing unique fac­tor­iz­a­tion in a hy­per­com­plex arith­met­ic,” Bull. Am. Math. Soc. 28 : 9 (1922), pp. 438–​442. MR 1560614 JFM 48.​0125.​03 article

[272]L. E. Dick­son: Plane tri­go­no­metry with prac­tic­al ap­plic­a­tions. B. H. San­born & Co. (Chica­go), 1922. Re­pub­lished in 1970. JFM 48.​0672.​13 book

[273]L. E. Dick­son: “In­teg­ral solu­tions of \( x^2-my^2=zw \),” Bull. Am. Math. Soc. 29 : 10 (1923), pp. 464–​467. MR 1560793 JFM 49.​0096.​04 article

[274]L. E. Dick­son: “Should book re­views be cen­sored?,” Amer. Math. Mon. 30 : 5 (1923), pp. 252–​255. MR 1520244 article

[275]L. E. Dick­son: “The ra­tion­al lin­ear al­geb­ras of max­im­um and min­im­um ranks,” Bull. Am. Math. Soc. 29 : 3 (1923), pp. 120–​121. Ab­stract only. Ab­stract for art­icle pub­lished in Proc. Lon­don Math. Soc. 22:1 (1923). Avail­able open access here. JFM 49.​0088.​03 article

[276]L. E. Dick­son, H. H. Mitchell, H. S. Van­diver, and G. E. Wah­lin: Al­geb­ra­ic num­bers: Re­port of the com­mit­tee on al­geb­ra­ic num­bers. Bul­let­in of the Na­tion­al Re­search Coun­cil 28. Na­tion­al Re­search Coun­cil (Wash­ing­ton DC), 1923. Re­pub­lished (in ex­pan­ded form) as Al­geb­ra­ic num­bers (1967). JFM 49.​0109.​01 book

[277]L. E. Dick­son: “A new simple the­ory of hy­per­com­plex in­tegers,” J. Math. Pure Ap­pl. 2 : 9 (1923), pp. 281–​326. An ab­stract was pub­lished in \text{Bull. Am. Math. Soc.} 29:3 (1923). JFM 49.​0089.​01 article

[278]L. E. Dick­son: Al­geb­ras and their arith­met­ics. Uni­versity of Chica­go Press, 1923. Re­pub­lished in 1938 and 1960. Ger­man trans­la­tion pub­lished as Al­gebren und ihre Zah­len­the­or­ie (1927). JFM 49.​0079.​01 book

[279]L. E. Dick­son: His­tory of the the­ory of num­bers, vol. III: Quad­rat­ic and high­er forms. Carne­gie In­sti­tu­tion (Wash­ing­ton, DC), 1923. With a chapter on the class num­ber by G. H. Cresse. See also Volume I and Volume II. Chelsea re­prin­ted in 1966. The whole series was re­pub­lished in 1934. JFM 49.​0100.​12 book

[280]L. E. Dick­son: “A new simple the­ory of hy­per­com­plex in­tegers,” Bull. Am. Math. Soc. 29 : 3 (1923), pp. 121. Ab­stract of art­icle pub­lished in \text{J. Math. Pure Ap­pl.} 2:9 (1923). Avail­able open access here. article

[281]L. E. Dick­son: “Al­geb­ras and their arith­met­ics,” Bull. Am. Math. Soc. 30 : 5–​6 (1924), pp. 247–​257. MR 1560885 JFM 50.​0631.​02 article

[282]L. E. Dick­son: “Quad­rat­ic fields in which fac­tor­iz­a­tion is al­ways unique,” Bull. Am. Math. Soc. 30 : 7 (1924), pp. 328–​334. MR 1560910 JFM 50.​0113.​03 article

[283]L. E. Dick­son: “On the the­ory of num­bers and gen­er­al­ized qua­ternions,” Amer. J. Math. 46 : 1 (1924), pp. 1–​16. An ab­stract was pub­lished in Bull. Am. Math. Soc. 30:5 (1924). MR 1506514 JFM 50.​0094.​02 article

[284]L. E. Dick­son: “Book re­view: Vor­le­sun­gen über die The­or­ie der Al­geb­rais­chen Zah­len,” Amer. Math. Mon. 31 : 1 (January 1924), pp. 45–​46. Book by E. Hecke (Akad. Ver­lagsges, 1923). MR 1520346 article

[285]L. E. Dick­son: “Dif­fer­en­tial equa­tions from the group stand­point,” Ann. Math. (2) 25 : 4 (1924), pp. 287–​378. MR 1502670 article

[286]L. E. Dick­son: “Book re­view: Die Arith­metik der quad­rat­ischen For­men, zweite Ab­teilung,” Bull. Am. Math. Soc. 30 : 7 (1924), pp. 373. Book by P. Bach­mann (Teub­n­er, 1923). MR 1560922 article

[287]L. E. Dick­son: “On the the­ory of num­bers and gen­er­al­ized qua­ternions,” Bull. Amer. Math. Soc. 30 : 5 (1924), pp. 228. Ab­stract only. Ab­stract for Amer. J. Math. 46:1. JFM 50.​0095.​08 article

[288]L. E. Dick­son: “Book re­view: His­tory of math­em­at­ics,” Amer. Math. Mon. 32 : 10 (December 1925), pp. 511–​512. Book by D. E. Smith (Ginn & Co, 1923). MR 1520803 article

[289]L. E. Dick­son: “Al­gèbres nou­velles de di­vi­sion” [New di­vi­sion al­geb­ras], C. R. Acad. Sci. Par­is 181 (1925), pp. 836–​838. See also Trans. Am. Math. Soc. 28:2 (1926) and Bull. Am. Math. Soc. 34:5 (1928). JFM 51.​0121.​01 article

[290]L. E. Dick­son: “Book re­view: Lehr­buch der Al­gebra, ver­fasst mit Be­n­utzung von Hein­rich Webers gleich­nami­gem Buche,” Bull. Am. Math. Soc. 31 : 7 (1925), pp. 372–​373. Book by R. Fricke (Vei­weg, 1924). MR 1561066 article