English

A bivariate generating function for zeta values and related supercongruences

Number Theory 2020-02-03 v4 Combinatorics

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)\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.

Keywords

Cite

@article{arxiv.1806.00846,
  title  = {A bivariate generating function for zeta values and related supercongruences},
  author = {Roberto Tauraso},
  journal= {arXiv preprint arXiv:1806.00846},
  year   = {2020}
}
R2 v1 2026-06-23T02:17:29.126Z