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arXiv · 1806.00846

A bivariate generating function for zeta values and related supercongruences

Roberto Tauraso
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Abstract

By using the Wilf-Zeilberger method, we prove a novel finite combinatorial identity related to a bivariate generating function for $\zeta(2+r+2s)$ (an extension of a Bailey-Borwein-Bradley Apery-like formula for even zeta values). Such identity is then applied to show several supercongruences.

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Roberto Tauraso. 2018-06-03. A bivariate generating function for zeta values and related supercongruences. https://arxiv.org/abs/1806.00846

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