Relations between values at $T$-tuples of negative integers of twisted multivariable zeta series associated to polynomials of several variables.
Langue
en
Document de travail - Pré-publication
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
twisted Multiple zeta-function
Analytic continuation
special values
Origine
Importé de halUnités de recherche