Relations between values at $T$-tuples of negative integers of twisted multivariable zeta series associated to polynomials of several variables
| dc.creator | De Crisenoy, Marc | |
| dc.creator | Essouabri, Driss | |
| dc.date | 2005-05-26 | |
| dc.date.accessioned | 2026-07-07T05:20:17Z | |
| dc.date.available | 2026-07-07T05:20:17Z | |
| dc.description | 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.identifier | https://arxiv.org/abs/math/0505568 | |
| dc.identifier | http://arxiv.org/abs/math/0505568 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75322 | |
| dc.subject | Number Theory | |
| dc.subject | 11M41; 11R42 | |
| dc.title | Relations between values at $T$-tuples of negative integers of twisted multivariable zeta series associated to polynomials of several variables | |
| dc.type | text |