Dirichlet L-function

Layer 0 — Mathematicsin the number-theory subtree

L(s,χ) = Σ χ(n)/n^s for a Dirichlet character χ mod q. Analytic continuation and non-vanishing on ℜs=1 yields Dirichlet's theorem; entire iff χ non-principal.

Related concepts

Dirichlet's theorem on arithmetic progressions
Analytic continuation
Birch–Swinnerton-Dyer conjecture
K3 elliptic genus and Mathieu-M₂₄ moonshine (string-theory)

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