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

页码：72 / 83

页数：12

共 16 条

[1]

[Anonymous], THESIS

[2]

Broadhurst DJ, 1999, EUR PHYS J C, V8, P311, DOI 10.1007/s100529900935

[3] Mixed pentagon, octagon, and Broadhurst duality equations [J].