Meromorphic Continuation of Multivariable Euler Products

@inproceedings{Bhowmik2006MeromorphicCO,
  title={Meromorphic Continuation of Multivariable Euler Products},
  author={Gautami Bhowmik and Driss Essouabri and Ben Lichtin},
  year={2006}
}
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 give a criterion, à la Estermann-Dahlquist, for the existence of a meromorphic extension to Cn. In addition, we… CONTINUE READING