| Auteur(s) |
Federico Pellarin ( )1, 2 |
| Laboratoire |
|
| Domaine |
Mathématiques/Théorie des nombres
|
| Titre |
Values of certain L-series in positive characteristic |
| Résumé |
We introduce a family of L-series specialising to both L-series associated to certain Dirichlet characters over F_q[T] and to integral values of Carlitz-Goss zeta function associated to F_q[T]. We prove, with the use of the theory of deformations of vectorial modular forms, a formula for their value at 1, as well as some arithmetic properties of other values at positive integers |
| Langue du texte intégral |
Anglais |
| Date de production, écriture |
21/07/2011 |
|
| Journal |
Annals of Mathematics |
| Audience |
internationale |
| Date de publication |
01/12/2012 |
| Date de publication électronique |
21/09/2011 |
| Volume |
176 |
| Numéro |
1 |
| Page, identifiant, ... |
1-39 |
|
| Mots Clés |
L-series – Drinfeld modular forms – Function fields of positive characteristic |
| Classification |
11F52, 14G25, 14L05 |
|
