t-adic symmetric multiple zeta values for indices in which 1 and 3 appear alternately

被引：0

作者：

Hirose, Minoru ^{[1
]}

Murahara, Hideki ^{[2
]}

Saito, Shingo ^{[3
]}

机构：

[1] Kagoshima Univ, Grad Sch Sci & Engn, Kagoshima 8900065, Japan

[2] Univ Kitakyushu, Kitakyushu, Fukuoka 8028577, Japan

[3] Kyushu Univ, Fac Arts & Sci, Fukuoka 8190395, Japan

来源：

ACTA ARITHMETICA | 2024年 / 216卷 / 03期

关键词：

multiple zeta values; symmetric multiple zeta values; t-adic sym- metric multiple zeta(-star) values; BRADLEY TYPE THEOREM;

D O I：

10.4064/aa231109-9-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the t-adic symmetric multiple zeta values modulo t m without modulo pi 2 reduction for indices in which 1 and 3 appear alternately. We investigate those values that can be expressed as a polynomial of the Riemann zeta values, and give a conjecturally complete list of explicit formulas for such values.

引用

页码：249 / 275

页数：28

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