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arXiv · 1405.6499

Multiple zeta-star values and multiple integrals

Shuji Yamamoto
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Abstract

We prove a kind of integral expressions for finite multiple harmonic sums and multiple zeta-star values. Moreover, we introduce a class of multiple integrals, associated with some combinatorial data (called 2-labeled posets). This class includes both multiple zeta and zeta-star values of Euler-Zagier type, and also several other types of multiple zeta values. We show that these integrals can be used to obtain some relations among such zeta values quite transparently.

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Shuji Yamamoto. 2014-05-26. Multiple zeta-star values and multiple integrals. https://arxiv.org/abs/1405.6499

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