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
  • [1] An identity involving weighted and desingularized multiple zeta functions
    Sahoo, Dilip K.
    Viswanadham, G. K.
    ACTA ARITHMETICA, 2022, 202 (02) : 195 - 202
  • [2] Weighted sum formulas of multiple Hurwitz zeta functions
    Hashimoto, Shuta
    Nakamura, Takashi
    Watanabe, Tatsuki
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024,
  • [3] Global series for height 1 multiple zeta functions
    Young, Paul Thomas
    EUROPEAN JOURNAL OF MATHEMATICS, 2023, 9 (04)
  • [4] On Schur multiple zeta functions: A combinatoric generalization of multiple zeta functions
    Nakasuji, Maki
    Phuksuwan, Ouamporn
    Yamasaki, Yoshinori
    ADVANCES IN MATHEMATICS, 2018, 333 : 570 - 619
  • [5] Cyclic relation for multiple zeta functions
    Murahara, Hideki
    Onozuka, Tomokazu
    RESEARCH IN NUMBER THEORY, 2022, 8 (03)
  • [6] Interpolant of truncated multiple zeta functions
    Ihara, Kentaro
    Nakamura, Yayoi
    Yamamoto, Shuji
    RAMANUJAN JOURNAL, 2025, 67 (01):
  • [7] Analytic properties of multiple zeta functions and certain weighted variants, an elementary approach
    Mehta, Jay
    Saha, Biswajyoti
    Viswanadham, G. K.
    JOURNAL OF NUMBER THEORY, 2016, 168 : 487 - 508
  • [8] Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems
    Komori, Yasushi
    Matsumoto, Kohji
    Tsumura, Hirofumi
    MATHEMATISCHE ZEITSCHRIFT, 2011, 268 (3-4) : 993 - 1011
  • [9] Multiple Stieltjes constants and Laurent type expansion of the multiple zeta functions at integer points
    Saha, Biswajyoti
    SELECTA MATHEMATICA-NEW SERIES, 2022, 28 (01):
  • [10] Analytic continuation of the multiple Fibonacci zeta functions
    Rout, Sudhansu Sekhar
    Meher, Nabin Kumar
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2018, 94 (06) : 64 - 69
12345