A bivariate generating function for zeta values and related supercongruences

Abstract

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.

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