Selberg integral and multiple zeta values

Abstract

In this paper, we show that the coefficient of the Taylor expansion of Selberg integrals with respect to exponent variables are expressed as a linear combination of multiple zeta values. We use beta-nbc base so that the Selberg integral is holomorphic with respect to the exponent variables.

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Cited by in corpus (2)

• Analysis of Zeta Functions, Multiple Zeta Values, and Related Integrals
• A Quantum Field Theoretical Representation of Euler-Zagier Sums