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| HAL: hal-00610418, version 4 |
| arXiv: 1107.4511 |
| Detailed view |  Export this paper |
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| Annals of Mathematics 176, 1 (2012) 1-39 |
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| Available versions: | v4 (2011-10-03) |
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| Values of certain L-series in positive characteristic |
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| Federico Pellarin 1, 2 |
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| (2012-12-01) |
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| 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 |
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| 1: | Laboratoire de Mathématiques de l'Université de Saint-Etienne (LAMUSE) |
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Université Jean Monnet - Saint-Etienne |
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| 2: | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| Subject | : | Mathematics/Number Theory |
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| L-series – Drinfeld modular forms – Function fields of positive characteristic |
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| Attached file list to this document: | ||||||||||
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| hal-00610418, version 4 | |
| http://hal.archives-ouvertes.fr/hal-00610418 | |
| oai:hal.archives-ouvertes.fr:hal-00610418 | |
| From: Federico Pellarin | |
| Submitted on: Friday, 30 September 2011 17:35:21 | |
| Updated on: Monday, 8 October 2012 18:28:54 | |
