On functional relations between the Mordell–Tornheim double zeta functions and the Riemann zeta function
On functional relations between the Mordell–Tornheim double zeta functions and the Riemann zeta function
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DOI：
10.1017/s0305004107000059
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发表时间：
2007-05
影响因子：
0.8
通讯作者：
Hirofumi Tsumura
中科院分区：
文献类型：
--
作者：
Hirofumi Tsumura
本文给出了Mordell-Tornheim双zeta函数与Riemann zeta函数之间的某些解析函数关系。这些可以被看作是连续的推广已知的离散关系之间的莫德尔-托恩海姆双zeta值和黎曼zeta值在正整数发现于20世纪50年代。
Abstract In this paper, we give certain analytic functional relations between the Mordell–Tornheim double zeta functions and the Riemann zeta function. These can be regarded as continuous generalizations of the known discrete relations between the Mordell–Tornheim double zeta values and the Riemann zeta values at positive integers discovered in the 1950's.