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arXiv · 2301.00298

Infinite matrix products and hypergeometric zeta series

T. Wakhare·C. Vignat
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Abstract

An unpublished identity of Gosper restates a hypergeometric identity for odd zeta values in terms of an infinite product of matrices. We show that this correspondence runs much deeper, and show that many examples of WZ-accelerated series for zeta values lift to infinite matrix products. We also introduce a new matrix subgroup, the Gosper group, which all of our matrix products fall into.

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T. Wakhare, C. Vignat. 2022-12-31. Infinite matrix products and hypergeometric zeta series. https://arxiv.org/abs/2301.00298

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