Dirichlet character

noun

A complex-valued arithmetic function χ:ℤ→ℂ that satisfies the following conditions for some positive integer m and all integers a and b

Meanings

nounDirichlet character (plural Dirichlet characters)

plural Dirichlet characters

  1. analytic number theoryA complex-valued arithmetic function χ:ℤ→ℂ that satisfies the following conditions for some positive integer m and all integers a and b

    2)

    1 more example

    1) χ(ab)=χ(a)χ(b);

  2. 3) χ(a+m)=χ(a).
Cite this entry
APA

Dirichlet character. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Dirichlet%20character

MLA

“Dirichlet character.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Dirichlet%20character. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Dirichlet character,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Dirichlet%20character.

Source: Dirichlet character on Wiktionary, CC BY-SA 4.0.