Mean value theorems for the Mordell–Tornheim double zeta-function

被引：0
作者：
Takuya Okamoto
Tomokazu Onozuka
机构：
[1] Nippon Institute of Technology,Faculty of Engineering
[2] Nagoya University,Graduate School of Mathematics
来源：
The Ramanujan Journal | 2015年 / 37卷
关键词：
Mordell–Tornheim double zeta-function; Mean value; Mellin–Barnes integral; Euler–Maclaurin formula; Primary 11M32; Secondary 11M06;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Matsumoto and Tsumura proved mean value theorems for the Euler–Zagier double zeta-function. In this paper, we consider mean value theorems for the Mordell–Tornheim double zeta-function.
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页码：131 / 163
页数：32
相关论文
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  • [2] Egami S(2003)The analytic continuation and the asymptotic behaviour of certain multiple zeta-functions I J. Number Theory 101 223-243
  • [3] Tanigawa Y(1958)On the evaluation of some multiple series J. Lond. Math. Soc. 33 368-371
  • [4] Matsumoto K(1950)Harmonic double series Am. J. Math. 72 303-314
  • [5] Mordell LJ(2000)Analytic continuation of multiple zeta functions Proc. Am. Math. Soc. 128 1275-1283
  • [6] Tornheim L(undefined)undefined undefined undefined undefined-undefined
  • [7] Zhao J(undefined)undefined undefined undefined undefined-undefined
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