Sum relations for multiple zeta values and connection formulas for the Gauss hypergeometric functions

被引：23
|
作者：
Aoki, T [1 ]
Ohno, Y [1 ]
机构：
[1] Kinki Univ, Dept Math, Osaka 5778502, Japan
来源：
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2005年 / 41卷 / 02期
关键词：
D O I：
10.2977/prims/1145475357
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give an explicit representation for the sums of multiple zeta-star values of fixed weight and height in terms of Riemann zeta values.
引用
收藏
页码：329 / 337
页数：9
相关论文
共 50 条
  • [1] Gauss Hypergeometric Functions, Multiple Polylogarithms, and Multiple Zeta Values
    Oi, Shu
    PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2009, 45 (04) : 981 - 1009
  • [2] Gamma functions and sum formulas of multiple zeta values
    Chen, Kwang-Wu
    Eie, Minking
    JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 2021, 36 (02) : 93 - 107
  • [3] Sum formulas for Schur multiple zeta values
    Bachmann, Henrik
    Kadota, Shin-ya
    Suzuki, Yuta
    Yamamoto, Shuji
    Yamasaki, Yoshinori
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2023, 200
  • [4] Sum relations for multiple zeta values
    Ohno, Y
    ZETA FUNCTIONS, TOPOLOGY AND QUANTUM PHYSICS, 2005, 14 : 131 - 144
  • [5] Several weighted sum formulas of multiple zeta values
    Eie, Minking
    Liaw, Wen-Chin
    Ong, Yao Lin
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2017, 13 (09) : 2253 - 2264
  • [6] On Vectorized Weighted Sum Formulas of Multiple Zeta Values
    Chung, Chan-Liang
    Ong, Yao Lin
    TAIWANESE JOURNAL OF MATHEMATICS, 2016, 20 (02): : 243 - 261
  • [7] Weighted sum formulas for symmetric multiple zeta values
    Kento Fujita
    Yasushi Komori
    The Ramanujan Journal, 2023, 60 : 141 - 155
  • [8] Weighted sum formulas for finite multiple zeta values
    Kamano, Ken
    JOURNAL OF NUMBER THEORY, 2018, 192 : 168 - 180
  • [9] Sum formulas and duality theorems of multiple zeta values
    Chen, Kwang-Wu
    Chung, Chan-Liang
    Eie, Minking
    JOURNAL OF NUMBER THEORY, 2016, 158 : 33 - 53
  • [10] Double weighted sum formulas of multiple zeta values
    Eie, Minking
    Liaw, Wen-Chin
    Wei, Chuan-Sheng
    ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2015, 85 (01): : 23 - 41
12345