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number > number theory > analytic number theory > L-function > automorphic L-function
mathematical analysis > complex analysis > meromorphic function > L-function > automorphic L-function
... > topology > algebraic topology > manifold > differentiable manifold > Lie group > automorphic form > automorphic L-function
... > geometry > topological space > manifold > differentiable manifold > Lie group > automorphic form > automorphic L-function
... > geometry > differential geometry > differentiable manifold > Lie group > automorphic form > automorphic L-function
... > topology > differential topology > differentiable manifold > Lie group > automorphic form > automorphic L-function
... > algebra > group theory > topological group > Lie group > automorphic form > automorphic L-function
number > number theory > automorphic form > automorphic L-function
... > mathematical analysis > functional analysis > transformation > harmonic analysis > automorphic form > automorphic L-function

Terme préférentiel

automorphic L-function  

Définition

  • In mathematics, an automorphic L-function is a function L(s,π,r) of a complex variable s, associated to an automorphic representation π of a reductive group G over a global field and a finite-dimensional complex representation r of the Langlands dual group LG of G, generalizing the Dirichlet L-series of a Dirichlet character and the Mellin transform of a modular form. They were introduced by Langlands (1967, 1970, 1971). Borel (1979) and Arthur & Gelbart (1991) gave surveys of automorphic L-functions.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Automorphic_L-function)

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http://data.loterre.fr/ark:/67375/PSR-F560LSQ9-P

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RDF/XML TURTLE JSON-LD Date de création 18/08/2023, dernière modification le 18/10/2024