English

Proof of Sun's supercongruence involving Catalan numbers

Number Theory 2020-01-14 v1 Combinatorics

Abstract

We confirm a conjectural supercongruence involving Catalan numbers, which is one of the 100 selected open conjectures on congruences of Sun. The proof makes use of hypergeometric series identities and symbolic summation method.

Keywords

Cite

@article{arxiv.2001.03941,
  title  = {Proof of Sun's supercongruence involving Catalan numbers},
  author = {Ji-Cai Liu},
  journal= {arXiv preprint arXiv:2001.03941},
  year   = {2020}
}

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9 pages