Relations between values at $T$-tuples of negative integers of twisted multivariable zeta series associated to polynomials of several variables.
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en
Document de travail - Pré-publication
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
twisted Multiple zeta-function
Analytic continuation
special values
Orígen
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