English

Some conjectures on congruences

Number Theory 2013-02-07 v5 Combinatorics

Abstract

Let pp be an odd prime. In the paper we collect the author's various conjectures on congruences modulo pp or p2p^2, which are concerned with sums of binomial coefficients, Lucas sequences, power residues and special binary quadratic forms.

Keywords

Cite

@article{arxiv.1103.5384,
  title  = {Some conjectures on congruences},
  author = {Zhi-Hong Sun},
  journal= {arXiv preprint arXiv:1103.5384},
  year   = {2013}
}

Comments

Conjecture 4.46 is new

R2 v1 2026-06-21T17:45:40.385Z