Weighted sum formula for variants of half multiple zeta values

被引：0

作者：

Kawamura, Hanamichi ^{[1
]}

Maesaka, Takumi ^{[2
]}

Ono, Masataka ^{[3
]}

机构：

[1] Tokyo Univ Sci, Fac Sci Div 1, Dept Math, Shinjuku, Tokyo 1628601, Japan

[2] Kyushu Univ, Dept Math, Motooka 744,Nishi Ku, Fukuoka 8190395, Japan

[3] Waseda Univ, Global Educ Ctr, Shinjuku, Tokyo 1698050, Japan

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2024年 / 20卷 / 09期

关键词：

Multiple zeta values; finite multiple zeta values; symmetric multiple zeta values; weighted sum formula; DOUBLE SHUFFLE RELATIONS; HARMONIC SUMS; INTERPOLATION;

D O I：

10.1142/S1793042124501148

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove some weighted sum formulas for half multiple zeta values, half finite multiple zeta values, and half symmetric multiple zeta values. The key point of our proof is Dougall's identity for the generalized hypergeometric function F-5(4). Similar results for interpolated refined symmetric multiple zeta values and half refined symmetric multiple zeta values are also discussed.

引用

页码：2329 / 2353

页数：25

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