A relation between the Mordell-Tornheim multiple Dirichlet series and the confluent hypergeometric function
Number Theory
2023-02-01 v2
Abstract
We investigate a relation between the Mordell-Tornheim type of multiple Dirichlet series and a confluent hypergeometric function. We prove it by applying the Mellin-Barnes integral formula. Also, main results in this paper contain two kinds of functional equations for double -functions as a special case.
Cite
@article{arxiv.2210.13033,
title = {A relation between the Mordell-Tornheim multiple Dirichlet series and the confluent hypergeometric function},
author = {Yuichiro Toma},
journal= {arXiv preprint arXiv:2210.13033},
year = {2023}
}
Comments
12pages