Relations between values at $T$-tuples of negative integers of twisted multivariable zeta series associated to polynomials of several variables.
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DE CRISENOY, Marc | |
| hal.structure.identifier | Laboratoire de Mathématiques Nicolas Oresme [LMNO] | |
| dc.contributor.author | ESSOUABRI, Driss | |
| dc.date.accessioned | 2024-04-04T02:48:15Z | |
| dc.date.available | 2024-04-04T02:48:15Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191721 | |
| dc.description.abstractEn | We give a new and very concise proof of the existence of a holomorphic continuation for a large class of twisted multivariable zeta functions. To do this, we use a simple method of ``decalage" that avoids using an integral representation of the zeta function. This allows us to derive explicit recurrence {\it relations} between the values at $T-$tuples of negative integers. This also extends some earlier results of several authors where the underlying polynomials were products of linear forms. | |
| dc.language.iso | en | |
| dc.subject.en | twisted Multiple zeta-function | |
| dc.subject.en | Analytic continuation | |
| dc.subject.en | special values | |
| dc.title.en | Relations between values at $T$-tuples of negative integers of twisted multivariable zeta series associated to polynomials of several variables. | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | math.NT/0505568 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-00004986 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00004986v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=DE%20CRISENOY,%20Marc&ESSOUABRI,%20Driss&rft.genre=preprint |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||