Generalizations of Apostol-Vu and Mordell-Tornheim multiple zeta functions

被引:4
作者
Okamoto, Takuya [1 ]
机构
[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan
关键词
multiple zeta function; analytic continuation; Mellin-Barnes formula;
D O I
10.4064/aa140-2-5
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:169 / 187
页数:19
相关论文
共 7 条
[1]   DIRICHLET SERIES RELATED TO THE RIEMANN ZETA FUNCTION [J].
APOSTOL, TM ;
VU, TH .
JOURNAL OF NUMBER THEORY, 1984, 19 (01) :85-102
[2]  
Matsumoto K, 2002, NUMBER THEORY FOR THE MILLENNIUM II, P417
[3]   The analytic continuation and the asymptotic behaviour of certain multiple zeta-functions I [J].
Matsumoto, K .
JOURNAL OF NUMBER THEORY, 2003, 101 (02) :223-243
[4]  
Matsumoto K., 2003, BONN MATH SCHR, V360
[5]  
Mordell L.J., 1958, J. Lond. Math. Soc, V33, P368, DOI [10.1112/jlms/s1-33.3.368, DOI 10.1112/JLMS/S1-33.3.368]
[6]   HARMONIC DOUBLE SERIES [J].
TORNHEIM, L .
AMERICAN JOURNAL OF MATHEMATICS, 1950, 72 (02) :303-314
[7]  
Whittaker E. T., 1996, COURSE MODERN ANAL