Products of weighted multiple zeta functions

被引:0
作者
Viswanadham, G. K. [1 ]
机构
[1] IISER Berhampur, Dept Math, Berhampur 760010, Orissa, India
来源
BULLETIN DES SCIENCES MATHEMATIQUES | 2018年 / 147卷
关键词
Multiple zeta functions; Stuffle relation; Shuffle relation; ANALYTIC CONTINUATION; VALUES;
D O I
10.1016/j.bulsci.2018.04.002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is well known that the multiple zeta functions satisfy the stuffle relation. Recently it is proved (see J. Mehta et al. (2016) [3]) that a weighted variant of the multiple zeta function satisfies the shuffle relation. In this article we characterize all the weighted multiple zeta functions which satisfy the stuffle relation (respectively shuffle relation). (C) 2018 Elsevier Masson SAS, All rights reserved.
引用
收藏
页码:26 / 39
页数:14
相关论文
共 50 条
[21]   On Vectorized Weighted Sum Formulas of Multiple Zeta Values [J].
Chung, Chan-Liang ;
Ong, Yao Lin .
TAIWANESE JOURNAL OF MATHEMATICS, 2016, 20 (02) :243-261
[22]   Analytic continuation of the multiple Lucas zeta functions [J].
Meher, Nabin Kumar ;
Rout, Sudhansu Sekhar .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 468 (02) :1115-1130
[23]   Analytic continuation of multiple Hurwitz zeta functions [J].
Mehta, Jay ;
Viswanadham, G. K. .
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2017, 69 (04) :1431-1442
[24]   Multiple Lerch Zeta Functions and an Idea of Ramanujan [J].
Gun, Sanoli ;
Saha, Biswajyoti .
MICHIGAN MATHEMATICAL JOURNAL, 2018, 67 (02) :267-287
[25]   The first eigenvalue problem and tensor products of zeta functions [J].
Koyama, S .
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2004, 80 (05) :35-39
[26]   On the behavior of multiple zeta-functions with identical arguments on the real line [J].
Matsumoto, Kohji ;
Matsusaka, Toshiki ;
Tanackov, Ilija .
JOURNAL OF NUMBER THEORY, 2022, 239 :151-182
[27]   On the Functional Relations for the Euler-Zagier Multiple Zeta-functions [J].
Ikeda, Soichi ;
Matsuoka, Kaneaki .
TOKYO JOURNAL OF MATHEMATICS, 2018, 41 (02) :477-485
[28]   AN INTEGRAL REPRESENTATION OF MULTIPLE HURWITZ-LERCH ZETA FUNCTIONS AND GENERALIZED MULTIPLE BERNOULLI NUMBERS [J].
Komori, Yasushi .
QUARTERLY JOURNAL OF MATHEMATICS, 2010, 61 (04) :437-496
[29]   On shuffle-type functional relations of desingularized multiple zeta-functions [J].
Komiyama, Nao .
JOURNAL OF NUMBER THEORY, 2022, 231 :120-138
[30]   On Witten multiple zeta-functions associated with semisimple Lie algebras II [J].
Komori, Yasushi ;
Matsumoto, Kohji ;
Tsumura, Hirofumi .
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2010, 62 (02) :355-394