# Mathematician:Leonard Eugene Dickson

## Contents

## Mathematician

One of the first American mathematicians to work in abstract algebra.

Also remembered for his history of number theory.

## Nationality

American

## History

- Born: 22 Jan 1874, Independence, Iowa, USA
- Died: 17 Jan 1954, Harlingen, Texas, USA

## Theorems and Definitions

- Cayley-Dickson Algebra (with Arthur Cayley)
- Cayley-Dickson Construction (with Arthur Cayley)
- Dickson's Lemma
- Dickson Invariant
- Dickson Polynomial
- Catalan-Dickson Conjecture (with Eugène Charles Catalan)

Results named for **Leonard Eugene Dickson** can be found here.

Definitions of concepts named for **Leonard Eugene Dickson** can be found here.

## Publications

- 1897:
*The Analytic Representation of Substitutions on a Power of a Prime Number of Letters with a Discussion of the Linear Group*

- 1901:
*Linear Groups With an Exposition of the Galois Field Theory*

- 1913:
*Finiteness of the Odd Perfect and Primitive Abundant Numbers with n Distinct Prime Factors*

- 1913:
*Theorems and tables on the sum of the divisors of a number*(*Quart. J. Pure Appl. Math.***Vol. 44**: 264 – 296)

- 1913:
*Amicable Number Triples*(*Amer. Math. Monthly***Vol. 20**: 84) www.jstor.org/stable/2973442

- 1914:
*Linear Algebras*

- 1914:
*Algebraic Invariants*

- 1914:
*Elementary Theory of Equations*

- 1919:
*On Quaternions and Their Generalization and the History of the Eight Square Theorem*

- 1922:
*First Course in the Theory of Equations*

- 1923:
*Algebras and their Arithmetics*

- 1926:
*Modern algebraic theories*

- 1927:
*Algebren und ihre Zahlentheorie*

- 1929:
*Introduction to the Theory of Numbers*

- 1930:
*Studies in the Theory of Numbers*

- 1933:
*Recent progress on Waring's theorem and its generalizations*(*Bull. Amer. Math. Soc.***Vol. 39**: 701 – 727)

- 1935:
*Biographical Memoir of Eliakim Hastings Moore 1862–1932*(with G. A. Bliss)

- 1935:
*Researches on Waring's problem*

- 1938:
*Theory and Applications of Finite Groups*(with H.F. Blichfeldt and G.A. Miller)

- 1938:
*Algebras And Their Arithmetics*

- 1939:
*Modern Elementary Theory of Numbers*

- 1939:
*New First Course in the Theory of Equations*