On three general forms of multiple zeta(-star) values

被引：1

作者：

Chen, Kwang-Wu ^{[1
]}

Eie, Minking ^{[2
]}

机构：

[1] Univ Taipei, Dept Math, Taipei 100234, Taiwan

[2] Natl Chung Cheng Univ, Dept Math, Chiayi 62145, Taiwan

来源：

EXPOSITIONES MATHEMATICAE | 2023年 / 41卷 / 02期

关键词：

Multiple zeta values; Multiple zeta-star values; Sum formulas; SUM FORMULAS; ZETA VALUES;

D O I：

10.1016/j.exmath.2023.02.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate three general forms of multiple zeta(-star) values. We use these values to give three new sum formulas for multiple zeta(-star) values with height < 2 and the evaluation of & zeta;*({1}m , {2}n+1).We also give a new proof of the sum formula of multiple zeta values.& COPY; 2023 Elsevier GmbH. All rights reserved.

引用

页码：299 / 315

页数：17

共 24 条

[1]

[Anonymous], 1997, ELECTRON J COMB

[2] Sum relations for multiple zeta values and connection formulas for the Gauss hypergeometric functions [J].