Duality/sum formulas for iterated integrals and their application to multiple zeta values

被引：7
|
作者：
Hirose, Minoru [1 ]
Iwaki, Kohei [2 ]
Sato, Nobuo [3 ]
Tasaka, Koji [4 ]
机构：
[1] Kyushu Univ, Fac Math, Fukuoka, Japan
[2] Nagoya Univ, Grad Sch Math, Nagoya, Aichi, Japan
[3] Natl Ctr Theoret Sci, Math Div, Taipei, Taiwan
[4] Aichi Prefectural Univ, Dept Informat Sci & Technol, Nagakute, Aichi, Japan
来源：
JOURNAL OF NUMBER THEORY | 2019年 / 195卷
关键词：
Iterated integrals; Multiple zeta values; HARMONIC SERIES; POLYLOGARITHMS;
D O I：
10.1016/j.jnt.2018.05.019
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate linear relations among a class of iterated integrals on the Riemann sphere minus four points 0, 1, z and infinity. Generalization of the duality formula and the sum formula for multiple zeta values to the iterated integrals are given. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：72 / 83
页数：12
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