A relation between the Mordell-Tornheim multiple Dirichlet series and the confluent hypergeometric function

Yuichiro Toma

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arXiv · 2210.13033

A relation between the Mordell-Tornheim multiple Dirichlet series and the confluent hypergeometric function

Yuichiro Toma

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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 $L$-functions as a special case.

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Yuichiro Toma. 2022-10-24. A relation between the Mordell-Tornheim multiple Dirichlet series and the confluent hypergeometric function. https://arxiv.org/abs/2210.13033

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