English

New conjectures involving binomial coefficients and Ap\'ery-like numbers

Number Theory 2021-12-07 v2 Combinatorics

Abstract

In this paper, we pose lots of challenging conjectures on congruences for the sums involving binomial coefficients and Ap\'ery-like numbers modulo p3p^3, where pp is an odd prime.

Keywords

Cite

@article{arxiv.2111.04538,
  title  = {New conjectures involving binomial coefficients and Ap\'ery-like numbers},
  author = {Zhi-Hong Sun},
  journal= {arXiv preprint arXiv:2111.04538},
  year   = {2021}
}

Comments

add more conjectures

R2 v1 2026-06-24T07:30:40.415Z