Concept information
Preferred term
L-function
Definition(s)
-
In mathematics, an L-function is a meromorphic function on the complex plane, associated to one out of several categories of mathematical objects. An L-series is a Dirichlet series, usually convergent on a half-plane, that may give rise to an L-function via analytic continuation. The Riemann zeta function is an example of an L-function, and one important conjecture involving L-functions is the Riemann hypothesis and its generalization.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/L-function)
Broader concept(s)
Narrower concept(s)
- Arakawa-Kaneko zeta function
- Artin-Mazur zeta function
- automorphic L-function
- Barnes zeta function
- Basel problem
- Birch and Swinnerton-Dyer conjecture
- Brumer-Stark conjecture
- Chowla-Selberg formula
- Clausen function
- Dirichlet character
- Dirichlet series
- Feller-Tornier constant
- generalized Riemann hypothesis
- Goss zeta function
- Hadjicostas's formula
- Hasse-Weil zeta function
- Hecke character
- Hurwitz zeta function
- Igusa zeta function
- Ihara zeta function
- Langlands-Deligne local constant
- Langlands program
- Lefschetz zeta function
- Lerch zeta function
- Li's criterion
- local zeta function
- Matsumoto zeta function
- Minakshisundaram-Pleijel zeta function
- motivic L-function
- multiple zeta function
- multiplication theorem
- p-adic L-function
- polylogarithm
- prime zeta function
- Ramanujan-Petersson conjecture
- Ramanujan tau function
- rational zeta series
- Riemann-Siegel theta function
- Riemann Xi function
- Riemann zeta function
- Riesz function
- Ruelle zeta function
- Selberg class
- Selberg zeta function
- Shintani zeta function
- special values of L-functions
- Waldspurger's theorem
- Weierstrass zeta function
- Weil conjectures
- Weil's criterion
- Witten zeta function
- zeta function regularization
- zeta function universality
In other languages
-
French
URI
http://data.loterre.fr/ark:/67375/PSR-NHFK3Q1R-H
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