论文标题
Mordell-Tornheim多个Dirichlet系列与汇合的超几何函数之间的关系
A relation between the Mordell-Tornheim multiple Dirichlet series and the confluent hypergeometric function
论文作者
论文摘要
我们研究了多个Dirichlet系列的Mordell-Tornheim类型与汇合的超几何函数之间的关系。我们通过应用Mellin-Barnes积分公式来证明这一点。此外，本文中的主要结果包含两种功能方程式，用于双$ l $ functions作为一种特殊情况。
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.
