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arXiv · 1806.09142

Generating functions for multiple zeta star values

Khodabakhsh Hessami Pilehrood·Tatiana Hessami Pilehrood
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Abstract

We study generating functions for multiple zeta star values in general form. These generating functions provide a connection between multiple zeta star values and multiple Euler sums, which allows us to express each multiple zeta star value in terms of multiple alternating Euler sums, and specifically, reduce the length of blocks of twos in the resulting sums.

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Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood. 2018-06-24. Generating functions for multiple zeta star values. https://arxiv.org/abs/1806.09142

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