Essential singularities of Euler products
Number Theory
2010-01-13 v1
Abstract
We classify singularities of Dirichlet series having Euler products which are rational functions for p and p^{-s} for p a prime number and give examples of natural boundaries from zeta functions of groups and height zeta functions.
Cite
@article{arxiv.1001.1891,
title = {Essential singularities of Euler products},
author = {Gautami Bhowmik and Jan-Christoph Schlage-Puchta},
journal= {arXiv preprint arXiv:1001.1891},
year = {2010}
}