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Selberg integral and multiple zeta values

Terasoma·Tomohide
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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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Terasoma, Tomohide. 1999-08-11. Selberg integral and multiple zeta values. https://arxiv.org/abs/math/9908045

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