# Valeurs spéciales de fonctions L de formes modulaires adéliques

Abstract : We study the special values of the $L$-functions of modular forms, twisted by Dirichlet characters of arbitrary conductor. We build distributions with algebraic values, using distributions with values in spaces of modular forms. We prove on those congruences and admissibility results. We then obtain the distributions with scalar values by composing with a linear form, that allows us to deduce they also have good properties. We finally establish there is a link between those distributions and the special values we are interested in, and we prove new congruence between those.
Mots-clés :
Document type :
Theses
Domain :

https://tel.archives-ouvertes.fr/tel-00005265
Contributor : Arlette Guttin-Lombard <>
Submitted on : Tuesday, March 9, 2004 - 3:42:50 PM
Last modification on : Wednesday, November 4, 2020 - 2:02:03 PM
Long-term archiving on: : Wednesday, September 12, 2012 - 2:00:37 PM

### Identifiers

• HAL Id : tel-00005265, version 1

### Citation

Julien Puydt. Valeurs spéciales de fonctions L de formes modulaires adéliques. Mathématiques [math]. Université Joseph-Fourier - Grenoble I, 2003. Français. ⟨tel-00005265⟩

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