On Extended Derivation Relations for Multiple Zeta Values
نویسنده
چکیده
Recently, Masanobu Kaneko introduced a conjecture on an extension of the derivation relations for multiple zeta values. The aim of this paper is to give a proof of the conjecture by reducing it to a class of relations for multiple zeta values studied by Kawashima. Also we will give some algebraic aspects of the extended derivation operator ∂ (c) n on Q〈x, y〉, which was defined by modeling a Hopf algebra developed by Connes and Moscovici.
منابع مشابه
Double Shuffle Relations of Euler Sums
Abstract. In this paper we shall develop a theory of (extended) double shuffle relations of Euler sums which generalizes that of multiple zeta values (see Ihara, Kaneko and Zagier, Derivation and double shuffle relations for multiple zeta values. Compos. Math. 142 (2)(2006), 307–338). After setting up the general framework we provide some numerical evidence for our two main conjectures. At the ...
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