# Relations between values at $T$-tuples of negative integers of twisted multivariable zeta series associated to polynomials of several variables.

Relations between values at $T$-tuples of negative integers of twisted multivariable zeta series associated to polynomials of several variables. - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 IMB - Institut de Mathématiques de Bordeaux 2 LMNO - Laboratoire de Mathématiques Nicolas Oresme

Abstract : 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.

Keywords : twisted Multiple zeta-function Analytic continuation special values

Autor: Marc De Crisenoy - Driss Essouabri -

Fuente: https://hal.archives-ouvertes.fr/

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