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A bivariate generating function for zeta values and related supercongruences

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

preprint2020arXivOpen access
Roberto Tauraso
math.COmath.NT
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Roberto Tauraso

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