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

Minoru Hirose; Kohei Iwaki; Nobuo Sato; Koji Tasaka

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

Number Theory 2017-04-24 v1 Classical Analysis and ODEs

Authors: Minoru Hirose , Kohei Iwaki , Nobuo Sato , Koji Tasaka

Abstract

We investigate linear relations among a class of iterated integrals on the Riemann sphere minus four points $0,1,z$ and $\infty$ . Generalization of the duality formula and the sum formula for multiple zeta values to the iterated integrals are given.

Keywords

multiple zeta values zeta values and euler sums riemann zeta function

Cite

@article{arxiv.1704.06387,
  title  = {Duality/Sum formulas for iterated integrals and their application to multiple zeta values},
  author = {Minoru Hirose and Kohei Iwaki and Nobuo Sato and Koji Tasaka},
  journal= {arXiv preprint arXiv:1704.06387},
  year   = {2017}
}

Comments

11 pages

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