### Bibliography

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

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

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

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

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

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

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

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

[9] : “On the inscription of regular polygons,” Ann. Math. 9 : 1–6 (1894–1895), pp. 73–84. MR 1502183 JFM 26.0568.01 article

[10] :
“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

[11] : “Cyclic numbers,” Quart. J. Pure Appl. Math. 27 (1895), pp. 366–377. JFM 26.0206.02 article

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

[13] :
“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

[14] : “Gergonne’s pile problem,” Bull. Am. Math. Soc. 1 : 7 (1895), pp. 184–186. MR 1557376 JFM 26.0239.03 article

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

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

[17] : “Analytic functions suitable to represent substitutions,” Amer. J. Math. 18 : 3 (July 1896), pp. 210–218. MR 1505712 JFM 27.0105.02 article

[18] :
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] :
“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] :
“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] : “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] : “Higher irreducible congruences,” Bull. Am. Math. Soc. 3 : 10 (1897), pp. 381–389. MR 1557535 JFM 28.0185.01 article

[23] : “The structure of the hypoabelian groups,” Bull. Am. Math. Soc. 4 : 10 (1898), pp. 495–510. MR 1557641 JFM 29.0119.01 article

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

[25] :
“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] :
“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] : “The quadratic Cremona transformation,” California Acad. Proc. 1 (1898), pp. 13–23. JFM 29.0570.04 article

[28] :
“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] : “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] : “A triply infinite system of simple groups,” Quart. J. Pure Appl. Math. 29 (1898), pp. 169–178. JFM 28.0136.01 article

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

[32] : “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] : “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] :
“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] :
“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] : “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] :
“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] : “The known finite simple groups,” Bull. Am. Math. Soc. 5 : 10 (1899), pp. 470–475. JFM 30.0143.01 article

[39] : “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] : “The first hypoabelian group generalized,” Quart. J. Pure Appl. Math. 30 (1899), pp. 1–16. JFM 29.0118.01 article

[41] :
“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] :
“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] :
“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] :
“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] :
“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] : “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] : “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] :
“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] : “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] :
“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] :
“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] :
“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] : “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] : “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] :
“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] : “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] :
“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] : “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] : “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] : “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] : “On systems of isothermal curves,” Amer. Math. Mon. 8 : 10 (October 1901), pp. 187–192. MR 1515374 JFM 32.0564.02 article

[62] : 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] : “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] :
“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] :
“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] :
“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] : “Concerning real and complex continuous groups,” Bull. Am. Math. Soc. 7 : 8 (1901), pp. 340–350. MR 1557812 JFM 32.0135.01 article

[68] : “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] : “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] : “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] :
“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] :
“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] :
“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] : “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] : “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] : College algebra. J. Wiley & Sons (New York), 1902. JFM 33.0188.04 book

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

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

[80] : “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] : “Linear groups in an infinite field,” Proc. London Math. Soc. 34 : 1 (1902), pp. 185–205. MR 1575497 JFM 33.0152.01 article

[82] : “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] :
“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] : “The hyperorthogonal groups,” Math. Ann. 55 : 4 (1902), pp. 521–572. MR 1511162 JFM 33.0151.02 article

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

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

[87] :
“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] :
“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] : “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] : “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] : “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] : “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] : “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] :
“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] :
“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] : “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] : “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] : “A generalization of symmetric and skew-symmetric determinants,” Amer. Math. Mon. 10 : 12 (December 1903), pp. 253–256. MR 1516012 article

[99] : “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] :
“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] :
“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] : Introduction to the theory of algebraic equations. J. Wiley & Sons (New York), 1903. JFM 34.0210.03 book

[103] :
“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] : “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] : “On the reducibility of linear groups,” Trans. Am. Math. Soc. 4 : 4 (1903), pp. 434–436. MR 1500653 JFM 34.0168.01 article

[106] :
“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] :
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] : “Three algebraic notes,” Amer. Math. Mon. 10 : 10 (October 1903), pp. 219–226. MR 1515976 article

[109] :
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] :
“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] : “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] : “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] : “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] : “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] :
“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] : “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] :
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] :
“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] :
“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] : “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] :
“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] : “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] : “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] :
“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] :
“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] :
“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] :
“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] :
“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] : “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] : “Memoir on Abelian transformations,” Amer. J. Math. 26 : 3 (July 1904), pp. 243–318. MR 1507875 JFM 35.0166.01 article

[131] :
“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] :
“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] :
“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] : “Determination of the ternary modular groups,” Amer. J. Math. 27 : 2 (April 1905), pp. 189–202. MR 1505964 JFM 36.0208.01 article

[135] : “On hypercomplex number systems,” Trans. Am. Math. Soc. 6 : 3 (1905), pp. 344–348. MR 1500716 JFM 36.0139.02 article

[136] : “On finite algebras,” Nachr. Ges. Wiss. Göttingen (1905), pp. 358–393. JFM 36.0138.03 article

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

[139] : “A general theorem on algebraic numbers,” Bull. Am. Math. Soc. 11 : 9 (1905), pp. 482–486. MR 1558248 JFM 36.0139.03 article

[140] :
“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] : “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] : “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] : “The group of a tactical configuration,” Bull. Am. Math. Soc. 11 : 4 (1905), pp. 177–179. MR 1558199 JFM 36.0210.01 article

[144] :
“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] : “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] : “A new system of simple groups,” Math. Ann. 60 : 1 (1905), pp. 137–150. JFM 36.0206.01 article

[147] :
“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] : “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] :
“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] : “On the cyclotomic function,” Amer. Math. Mon. 12 : 4 (April 1905), pp. 86–89. MR 1516323 article

[151] : “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] : “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] : “On linear algebras,” Amer. Math. Mon. 13 : 11 (November 1906), pp. 201–205. MR 1516696 JFM 37.0115.03 article

[154] :
“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] : “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] : “The abstract form of the Abelian linear groups,” Quart. J. Pure Appl. Math. 38 (1906), pp. 145–158. JFM 38.0181.02 article

[157] : “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] : “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] : “On quadratic, Hermitian and bilinear forms,” Trans. Am. Math. Soc. 7 : 2 (1906), pp. 275–292. MR 1500749 JFM 37.0137.01 article

[160] : “Modular theory of group characters,” Bull. Am. Math. Soc. 13 : 10 (1907), pp. 477–488. MR 1558503 JFM 38.0180.01 article

[161] : “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] :
“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] : “Modular theory of group-matrices,” Trans. Am. Math. Soc. 8 : 3 (1907), pp. 389–398. MR 1500793 JFM 38.0180.02 article

[164] :
“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] :
“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] : “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] : “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] : “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] :
“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] : “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] : “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] :
“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] :
“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] : “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] :
“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] : “On the factorization of large numbers,” Amer. Math. Mon. 15 : 12 (December 1908), pp. 217–222. MR 1517123 JFM 39.0272.04 article

[177] : “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] : “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] : “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] : “On higher congruences and modular invariants,” Bull. Am. Math. Soc. 14 : 7 (1908), pp. 313–318. MR 1558615 JFM 39.0256.04 article

[181] :
“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] : “Combinants,” Quart. J. Pure Appl. Math. 40 (1908), pp. 349–365. JFM 40.0164.01 article

[183] : “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] : “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] : “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] : “On commutative linear groups,” Quart. J. Pure Appl. Math. 40 (1909), pp. 167–196. JFM 40.0186.01 article

[187] : “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] : “A theory of invariants,” Amer. J. Math. 31 : 4 (October 1909), pp. 337–354. MR 1506079 JFM 40.0157.01 article

[189] :
“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] : “On certain diophantine equations,” Messenger of Mathematics 39 (1909), pp. 86–87. JFM 40.0254.03 article

[191] : “General theory of modular invariants,” Trans. Am. Math. Soc. 10 : 2 (1909), pp. 123–158. MR 1500831 JFM 40.0158.01 article

[192] : “Definite forms in a finite field,” Trans. Am. Math. Soc. 10 : 1 (1909), pp. 109–122. MR 1500830 JFM 40.0268.03 article

[193] : “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] : “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] : “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] : “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] :
“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] :
“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] : “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] : “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] : “On non-vanishing forms,” Quart. J. Pure Appl. Math. 42 (1911), pp. 162–171. JFM 42.0138.01 article

[202] : “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] : “Note on cubic equations and congruences,” Ann. Math. (2) 12 : 3 (April 1911), pp. 149–152. MR 1503562 JFM 42.0214.02 article

[204] : “Notes on the theory of numbers,” Amer. Math. Mon. 18 : 5 (May 1911), pp. 109–111. MR 1517545 JFM 42.0236.12 article

[205] : “Note on modular invariants,” Quart. J. Pure Appl. Math. 42 (1911), pp. 158–161. JFM 42.0137.01 article

[206] : “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] : “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] : “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] : “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] : “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] :
“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] : “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] : “Linear algebras,” Trans. Am. Math. Soc. 13 : 1 (1912), pp. 59–73. MR 1500905 JFM 43.0162.09 article

[214] : “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] :
“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] : “Even abundant numbers,” Amer. J. Math. 35 : 4 (October 1913), pp. 423–426. MR 1506195 JFM 44.0221.01 article

[217] :
“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] :
“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] : “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] : “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] : “Amicable number triples,” Amer. Math. Mon. 20 : 3 (1913), pp. 84–92. MR 1517797 JFM 44.0247.13 article

[222] :
“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] : “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] : “Linear associative algebras and abelian equations,” Trans. Am. Math. Soc. 15 : 1 (1914), pp. 31–46. MR 1500963 JFM 45.0189.03 article

[225] :
“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] : “Invariants in the theory of numbers,” Trans. Am. Math. Soc. 15 : 4 (1914), pp. 497–503. MR 1500992 JFM 45.0207.01 article

[227] : Algebraic invariants. Mathematical monographs 14. J. Wiley & Sons (New York), 1914. JFM 45.0196.10 book

[228] : Linear algebras. Cambridge Tracts in Mathematics and Mathematical Physics 16. Cambridge University Press, 1914. Republished in 1960. JFM 45.0189.01 book

[229] : Elementary theory of equations. J. Wiley & Sons (New York), 1914. JFM 45.0162.02 book

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

[231] : “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] : “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] :
“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] :
“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] : “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] :
“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] :
“Quartic curves modulo __\( {}2 \)__,”
Trans. Am. Math. Soc.
16 : 2
(April 1915),
pp. 111–120.
MR
1501003
JFM
45.0211.02
article

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

[239] : “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] :
“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] :
“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] :
“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] :
“Classification of quartic curves, modulo __\( {}2 \)__,”
Messenger of Mathematics
44
(1915),
pp. 189–192.
JFM
45.1235.03
article

[244] : “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] :
“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] : “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] : “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] : Theory and applications of finite groups. J. Wiley & Sons (New York), 1916. Republished in 1938 and in 1961. JFM 46.0171.02 book

[249] : “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] : “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] : 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] :
“On quaternions and their generalization and the history of the eight square theorem. Addenda.,”
Ann. Math. (2)
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(July 1919),
pp. 297.
Addenda to article in *Ann. Math.* **20**:3 (1919).
MR
1502566
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[253] :
“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] : “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] : “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] : “Les polynomes égaux à des déterminants,” C. R. Acad. Sci. Paris 171 (1920), pp. 1360–1362. JFM 47.0080.04 article

[257] : 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] : “Fallacies and misconceptions in Diophantine analysis,” Bull. Am. Math. Soc. 27 : 7 (1921), pp. 312–319. MR 1560425 JFM 48.0137.03 article

[259] : “Reducible cubic forms expressible rationally as determinants,” Ann. Math. (2) 23 : 1 (1921), pp. 70–74. MR 1502596 JFM 48.0099.04 article

[260] :
“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] : “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] : “Quaternions and their generalizations,” Proc. Nat. Acad. Sci. U.S.A. 7 : 4 (1921), pp. 109–114. JFM 48.0125.02 article

[263] : “La composition des polynomes,” C. R. Acad. Sci. Paris 172 (1921), pp. 636–640. JFM 48.0078.03 article

[264] : “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] : “Rational triangles and quadrilaterals,” Amer. Math. Mon. 28 : 6–7 (June–July 1921), pp. 244–250. MR 1519790 JFM 48.0667.04 article

[266] : “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] : “A new method in Diophantine analysis,” Bull. Am. Math. Soc. 27 : 8 (1921), pp. 353–365. MR 1560438 JFM 48.0137.04 article

[268] : “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] : “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] : A first course in the theory of equations. J. Wiley & Sons (New York), 1922. Republished in 1939. JFM 48.0091.05 book

[271] : “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] : Plane trigonometry with practical applications. B. H. Sanborn & Co. (Chicago), 1922. Republished in 1970. JFM 48.0672.13 book

[273] :
“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] : “Should book reviews be censored?,” Amer. Math. Mon. 30 : 5 (1923), pp. 252–255. MR 1520244 article

[275] :
“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] :
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] :
“A new simple theory of hypercomplex integers,”
J. Math. Pure Appl.
2 : 9
(1923),
pp. 281–326.
An abstract was published in *Bull. Am. Math. Soc.* **29**:3 (1923).
JFM
49.0089.01
article

[278] :
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] : 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] :
“A new simple theory of hypercomplex integers,”
Bull. Am. Math. Soc.
29 : 3
(1923),
pp. 121.
Abstract of article published in *J. Math. Pure Appl.* **2**:9 (1923).
Available open access
here.
article

[281] : “Algebras and their arithmetics,” Bull. Am. Math. Soc. 30 : 5–6 (1924), pp. 247–257. MR 1560885 JFM 50.0631.02 article

[282] : “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] :
“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] : “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] : “Differential equations from the group standpoint,” Ann. Math. (2) 25 : 4 (1924), pp. 287–378. MR 1502670 article

[286] : “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] :
“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] : “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] :
“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] : “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

[291] : “Resolvent sextics of quintic equations,” Bull. Am. Math. Soc. 31 : 9–10 (1925), pp. 515–523. MR 1561108 JFM 51.0093.04 article

[292] : “Quadratic forms which represent all integers,” Proceedings of the National Academy of Sciences of the United States of America 12 (December 1926), pp. 756–757. JFM 52.0145.03 article

[293] :
“All integral solutions of __\( ax^2+bxy+cy^2=w_1 w_2\cdots w_n \)__,”
Bull. Am. Math. Soc.
32 : 6
(1926),
pp. 644–648.
An abstract was published in *Bull. Am. Math. Soc.* **32**:6 (1926).
MR
1561282
JFM
52.0147.04<