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

JOURNAL OF NUMBER THEORY

卷:195

Article

Hirose, Minoru¹  Iwaki, Kohei²  Sato, Nobuo³  Tasaka, Koji⁴ 

[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

关键词: Iterated integrals;    Multiple zeta values;   

DOI  :  10.1016/j.jnt.2018.05.019

来源: Elsevier

【 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.

【 授权许可】

Free