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Zeta and L-functions

Table of contents

Airy zeta function

Apéry's theorem

Arakawa–Kaneko zeta function

Arithmetic zeta function

Artin L-function

Artin conductor

Artin–Mazur zeta function

Automorphic L-function

Barnes zeta function

Basel problem

Beurling zeta function

Birch and Swinnerton-Dyer conjecture

Brumer–Stark conjecture

Chowla–Mordell theorem

Clausen function

Dedekind zeta function

Dirichlet's theorem on arithmetic progressions

Dirichlet L-function

Dirichlet beta function

Dirichlet character

Dirichlet eta function

Divisor function

Dwork conjecture

Eichler–Shimura congruence relation

Equivariant L-function

Euler product

Explicit formulae for L-functions

Feller–Tornier constant

Functional equation (L-function)

Gan–Gross–Prasad conjecture

Generalized Riemann hypothesis

Goss zeta function

Grand Riemann hypothesis

Hadjicostas's formula

Hardy–Littlewood zeta-function conjectures

Hasse–Weil zeta function

Hecke character

Hideo Shimizu

Hilbert–Pólya conjecture

Hurwitz zeta function

Igusa zeta function

L-function

Langlands program

Langlands–Deligne local constant

Lefschetz zeta function

Lerch zeta function

Li's criterion

Lindelöf hypothesis

List of zeta functions

Local Langlands conjectures

Local zeta function

Matsumoto zeta function

Montgomery's pair correlation conjecture

Motivic L-function

Multiple zeta function

P-adic L-function

Prime zeta function

Proof of the Euler product formula for the Riemann zeta function

Ramanujan tau function

Ramanujan–Petersson conjecture

Rankin–Selberg method

Riemann Xi function

Riemann hypothesis

Riemann zeta function

Riemann–Siegel formula

Riemann–Siegel theta function

Riesz function

Ruelle zeta function

Selberg's zeta function conjecture

Selberg class

Shimizu L-function

Shimura variety

Shintani zeta function

Siegel zero

Special values of L-functions

Standard L-function

Stieltjes constants

Subgroup growth

Tate's thesis

Turing's method

Waldspurger's theorem

Weil's criterion

Weil conjectures

Z function

ZetaGrid

Zeta function (operator)

Zeta function universality

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