A functional relation for the Tornheim double zeta function

被引:29
作者
Nakamura, Takashi [1 ]
机构
[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan
关键词
Tornheim double zeta function; Euler-Zagier double zeta function;
D O I
10.4064/aa125-3-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:257 / 263
页数:7
相关论文
共 11 条
[1]  
Apostol TM., 1998, INTRO ANAL NUMBER TH
[2]   The evaluation of Tomheim double sums, Part 1 [J].
Espinosa, O ;
Moll, VH .
JOURNAL OF NUMBER THEORY, 2006, 116 (01) :200-229
[3]  
Huard JG, 1996, ACTA ARITH, V75, P105
[4]  
Matsumoto K, 2002, NUMBER THEORY FOR THE MILLENNIUM II, P417
[5]  
Mordell LJ., 1958, J. Lond. Math. Soc, V33, P368, DOI [10.1112/jlms/s1-33.3.368, DOI 10.1112/JLMS/S1-33.3.368]
[6]   ON SOME INFINITE SERIES OF MORDELL,L.J. AND THEIR ANALOGS [J].
SUBBARAO, MV ;
SITARAMACHANDRARAO, R .
PACIFIC JOURNAL OF MATHEMATICS, 1985, 119 (01) :245-255
[7]   HARMONIC DOUBLE SERIES [J].
TORNHEIM, L .
AMERICAN JOURNAL OF MATHEMATICS, 1950, 72 (02) :303-314
[8]   On some combinatorial relations for Tornheim's double series [J].
Tsumura, H .
ACTA ARITHMETICA, 2002, 105 (03) :239-252
[9]  
TSUMURA H, 2006, IN PRESS TOKYO METRO, V2
[10]  
ZAGIER D, 1994, PROG MATH, V120, P497