### Leonard Eugene Dickson ~~1874–1954~~

#### Filter the Bibliography List

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

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

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

: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

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

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

: “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

: “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

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

: “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

: “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

: “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

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

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

On triple algebras and ternary cubic forms,” Bull. Am. Math. Soc. 14 : 4 (1908), pp. 160–169. MR 1558578 JFM 39.0138.03 article

: “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

: “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

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

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

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

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

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

: “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

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

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

: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

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

: “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

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

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

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

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

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

: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

: “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

: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

: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

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

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

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

: “Modern algebraic theories.
B. H. Sanborn & Co. (Chicago),
1926.
Republished as *Algebraic theories* (1959).
JFM
52.0094.01
book

Algebren und ihre Zahlentheorie
[Algebras and their arithmetics].
Veröffentlichungen der Schweizerischen Mathematischen Gesellschaft 4.
Orell Füssli (Zürich),
1927.
Translation of completely revised and extended manuscript, with contribution on ideal theory from Andreas Speiser.
German translation of *Algebras and their arithmetics* (1923).
JFM
53.0112.01
book

Extensions of Waring’s theorem on nine cubes,” Amer. Math. Mon. 34 : 4 (April 1927), pp. 177–183. MR 1521139 JFM 53.0134.02 article

: “Outline of the theory to date of the arithmetics of algebras,” pp. 95–102 in Proceedings of the International Mathematical Congress, 1924 (Toronto, 11–16 August, 1924), vol. 1. Edited by J. C. Fields. University of Toronto Press, 1928. JFM 54.0160.03 incollection

: “Further development of the theory of arithmetics of algebras,” pp. 173–184 in Proceedings of the International Mathematical Congress, 1924 (Toronto, 11–16 August, 1924), vol. 1. Edited by J. C. Fields. University of Toronto Press, 1928. JFM 54.0161.01 incollection

: “New division algebras,”
Bull. Am. Math. Soc.
34 : 5
(1928),
pp. 555–560.
See also *Trans. Am. Math. Soc.* **28**:2 (1926) and *C. R. Acad. Sci. Paris* **181** (1925).
MR
1561617
JFM
54.0161.03
article

Linear algebras with associativity not assumed,” Duke Math. J. 1 : 2 (1935), pp. 113–125. MR 1545870 JFM 61.0125.01 Zbl 0012.14801 article

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