Mathematician:Leonard Eugene Dickson

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: pp. 264 – 296)

• 1913: Amicable Number Triples (Amer. Math. Monthly Vol. 20: p. 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

• 1919: History of the Theory of Numbers, Volume I
  • 1920: History of the Theory of Numbers, Volume II
  • 1923: History of the Theory of Numbers, Volume III

• 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: pp. 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

Sources

• John J. O'Connor and Edmund F. Robertson: "Leonard Eugene Dickson": MacTutor History of Mathematics archive