Mathematician:Leonard Eugene Dickson
One of the first American mathematicians to work in abstract algebra.
Also remembered for his history of number theory.
- 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.
- 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)
- 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: pp. 701 – 727)
- 1935: Researches on Waring's problem
- 1938: Algebras And Their Arithmetics
- 1939: Modern Elementary Theory of Numbers
- 1939: New First Course in the Theory of Equations