Meromorphic continuation of Multivariable Euler product and application
数论
2016-08-16 v1
摘要
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 Among applications we deduce analytic properties of height zeta functions for toric varieties over and group zeta functions.
引用
@article{arxiv.math/0502508,
title = {Meromorphic continuation of Multivariable Euler product and application},
author = {Gautami Bhowmik and Driss Essouabri and Ben Lichtin},
journal= {arXiv preprint arXiv:math/0502508},
year = {2016}
}
备注
article soumis