: Mathématiques: Artin L-function

mathematical analysis > calculus > series > Dirichlet series > Artin L-function

... > number theory > analytic number theory > L-function > Dirichlet series > Artin L-function

... > complex analysis > meromorphic function > L-function > Dirichlet series > Artin L-function

Artin L-function

In mathematics, an Artin L-function is a type of Dirichlet series associated to a linear representation ρ of a Galois group G. These functions were introduced in 1923 by Emil Artin, in connection with his research into class field theory. Their fundamental properties, in particular the Artin conjecture described below, have turned out to be resistant to easy proof. One of the aims of proposed non-abelian class field theory is to incorporate the complex-analytic nature of Artin L-functions into a larger framework, such as is provided by automorphic forms and the Langlands program. So far, only a small part of such a theory has been put on a firm basis.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Artin_L-function)

http://data.loterre.fr/ark:/67375/PSR-KWVRDSXB-1

RDF/XML TURTLE JSON-LD Date de création 18/08/2023, dernière modification le 18/08/2023

Loterre