Work

Meromorphic continuation of Multivariable Euler product and application

Year: 2005

Type: preprint

Abstract: This article extends classical one variable results about Euler products defined by integral valued polynomial or analytic functions to several variables. We show there exists a meromorphic continuation up to a presumed natural boundary, and also give a criterion, a la Estermann-Dahlquist, for the existence of a meromorphic extension to $\C^n.$ Among applications we deduce analytic properties of height zeta functions for toric varieties over $\Q$ and group zeta functions.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0502508

Authors: Bhowmik, Gautami, Essouabri, Driss, Lichtin, Ben

Institutions: Université de Lille, Laboratoire Paul Painlevé, Laboratoire de Mathématiques Nicolas Oresme

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4297780943

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