Double Dirichlet series associated with arithmetic functions
Number Theory
2018-10-11 v3
Abstract
We consider double Dirichlet series associated with arithmetic functions such as the von Mangoldt function, the M\"obius function, and so on. We show analytic continuations of them by use of the Mellin-Barnes integral. Furthermore we observe their reverse values at non-positive integer points.
Cite
@article{arxiv.1801.04444,
title = {Double Dirichlet series associated with arithmetic functions},
author = {Kohji Matsumoto and Akihiko Nawashiro and Hirofumi Tsumura},
journal= {arXiv preprint arXiv:1801.04444},
year = {2018}
}
Comments
16 pages