Functional Equations and the Harmonic Relations for Multiple Zeta Values

Preprint Series # 765
Machide, Tomoya Functional Equations and the Harmonic Relations for Multiple Zeta Values. (2006);

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Abstract

Let $\theta (x)$ denote Jacobi's theta function. We show that the function $F_\xi (x) = (\theta '(0) \theta (x+\xi) )/ (\theta (x) \theta (\xi))$ satisfies functional equations, which is a generalization of the harmonic relations for multiple zeta values.

Item Type: Preprint 5 copies , please. The name of my recommender is Youichi Shibukawa. multiple zeta values 11-xx NUMBER THEORY 1258