RESTRICTED SUM FORMULA FOR FINITE AND SYMMETRIC MULTIPLE ZETA VALUES

被引：2

作者：

Murahara, Hideki ^{[1
]}

Saito, Shingo ^{[2
]}

机构：

[1] Nakamura Gakuen Univ, Grad Sch, Jonan Ku, Fukuoka, Fukuoka, Japan

[2] Kyushu Univ, Fac Arts & Sci, Nishi Ku, Fukuoka, Fukuoka, Japan

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2019年 / 303卷 / 01期

基金：

日本学术振兴会;

关键词：

finite multiple zeta values; symmetric multiple zeta values; symmetrised multiple zeta values; finite real multiple zeta values; sum formula; restricted sum formula;

D O I：

10.2140/pjm.2019.303.325

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The sum formula for finite and symmetric multiple zeta values, established by Wakabayashi and the authors, implies that if the weight and depth are fixed and the specified component is required to be more than one, then the values sum up to a rational multiple of the analogue of the Riemann zeta value. We prove that the result remains true if we further demand that the component should be more than two or that another component should also be more than one.

引用

页码：325 / 335

页数：11

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