Some relations of interpolated multiple zeta values

Zhonghua Li; Chen Qin

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arXiv · 1608.04835

Some relations of interpolated multiple zeta values

Zhonghua Li·Chen Qin

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Abstract

In this paper, the extended double shuffle relations for interpolated multiple zeta values are established. As an application, Hoffman's relations for interpolated multiple zeta values are proved. Furthermore, a generating function for sums of interpolated multiple zeta values of fixed weight, depth and height is represented by hypergeometric functions, and we discuss some special cases.

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Zhonghua Li, Chen Qin. 2016-08-17. Some relations of interpolated multiple zeta values. https://arxiv.org/abs/1608.04835

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