On the quasi-derivation relation for multiple zeta values

2007/10/25 by Tatsushi Tanaka, Tanaka, Tatsushi
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.0710.4920

Abstract

Recently, Masanobu Kaneko introduced a conjecture on an extension of the derivation relation for multiple zeta values. The goal of the present paper is to present a proof of this conjecture by reducing it to a class of relations for multiple zeta values studied by Kawashima. In addition, some algebraic aspects of the quasi-derivation operator ∂_n^(c) on ℚ< x,y>, which was defined by modeling a Hopf algebra developed by Connes and Moscovici, will be presented.

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