Analytic continuation of multiple zeta-functions and the asymptotic behavior at non-positive integers
Number Theory
2012-05-15 v1
Abstract
We prove two theorems. Theorem 1 gives the meromorphic continuation of the multiple zeta function to the whole space. In Theorem 2, we prove asymptotic behavior near the non-positive integers.
Keywords
Cite
@article{arxiv.1205.2768,
title = {Analytic continuation of multiple zeta-functions and the asymptotic behavior at non-positive integers},
author = {Tomokazu Onozuka},
journal= {arXiv preprint arXiv:1205.2768},
year = {2012}
}
Comments
15 pages