English

Two Triple binomial sum supercongruences

Number Theory 2016-07-11 v1

Abstract

In a recent article, Apagodu and Zeilberger (http://arxiv.org/abs/1606.03351)discuss some applications of an algorithm for finding and proving congruence identities (modulo primes) of indefinite sums of many combinatorial sequence. At the end, they propose some supercongruences as conjectures. Here we prove one of them, including a new companion enumerating abelian squares, and we leave some remarks for the others.

Keywords

Cite

@article{arxiv.1607.02483,
  title  = {Two Triple binomial sum supercongruences},
  author = {Tewodros Amdeberhan and Roberto Tauraso},
  journal= {arXiv preprint arXiv:1607.02483},
  year   = {2016}
}

Comments

17 pages

R2 v1 2026-06-22T14:49:35.688Z