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

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.

11 pages

References in corpus (2)

• Feynman integrals and hyperlogarithms
• The parity theorem for multiple polylogarithms

Cited by in corpus (2)

• Algebraic differential formulas for the shuffle, stuffle and duality relations of iterated integrals
• Iterated integrals on ${\mathbb{P}}^1\setminus \{0,1,\infty ,z\}$ and a class of relations among multiple zeta values