On the singularities of multiple L-functions

被引：1

作者：

Zaharescu, Alexandru ^{[1
,2
]}

Zaki, Mohammad ^{[3
]}

机构：

[1] Acad Romana, Inst Math, Bucharest, Romania

[2] Univ Illinois, Dept Math, Urbana, IL 61801 USA

[3] Ohio No Univ, Dept Math, Ada, OK USA

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2010年 / 8卷 / 02期

基金：

美国国家科学基金会;

关键词：

Multiple L-functions; Multiple Hurwitz zeta functions; Dirichlet characters; RIEMANN ZETA-FUNCTION; ANALYTIC CONTINUATION; COMBINATORIAL RELATIONS; SERIES; VALUES;

D O I：

10.2478/s11533-010-0004-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the singularities of a class of multiple L-functions considered by Akiyama and Ishikawa [2].

引用

页码：289 / 298

页数：10

共 23 条

[1] Akiyama S, 2002, DEV MATH, V6, P1
[2] Analytic continuation of multiple zeta-functions and their values at non-positive integers
Akiyama, S
Egami, S
Tanigawa, Y
[J]. ACTA ARITHMETICA, 2001, 98 (02) : 107 - 116
[3] DIRICHLET SERIES RELATED TO THE RIEMANN ZETA FUNCTION
APOSTOL, TM
VU, TH
[J]. JOURNAL OF NUMBER THEORY, 1984, 19 (01) : 85 - 102
[4] THE MEAN-VALUE OF THE RIEMANN ZETA-FUNCTION
ATKINSON, FV
[J]. ACTA MATHEMATICA, 1949, 81 (04) : 353 - 376
[5] Hardy G.H., 1922, MESSENGER MATH, V51, P186
[6] Matsumoto K, 2006, DEV MATH, V15, P153
[7] Asymptotic series for double zeta, double gamma, and Hecke L-functions
Matsumoto, K
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1998, 123 : 385 - 405
[8] Asymptotic expansions of double zeta-functions of Barnes, of Shintani, and Eisenstein series
Matsumoto, K
[J]. NAGOYA MATHEMATICAL JOURNAL, 2003, 172 : 59 - 102
[9] Matsumoto K., 2003, BONN MATH SCHR, V360
[10] MATSUMOTO K, 2006, RIMS K OKY UROKU, V1512, P179

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