Double Dirichlet series associated with arithmetic functions II
Number Theory
2022-08-11 v1
Abstract
This paper is a continuation of our previous work on double Dirichlet series associated with arithmetic functions such as the von Mangoldt function, the M\"obius function, and so on. We consider the analytic behaviour around the non-positive integer points on singularity sets which are points of indeterminacy. In particular, we show a certain reciprocity law of their residues. Also on this occasion we correct some inaccuracies in our previous paper.
Keywords
Cite
@article{arxiv.2208.05149,
title = {Double Dirichlet series associated with arithmetic functions II},
author = {Kohji Matsumoto and Hirofumi Tsumura},
journal= {arXiv preprint arXiv:2208.05149},
year = {2022}
}
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17 pages