On van Hamme's (A.2) and (H.2) supercongruences
Number Theory
2018-07-12 v1 Combinatorics
Abstract
In 1997, van Hamme conjectured 13 Ramanujan-type supercongruences labeled (A.2)--(M.2). Using some combinatorial identities discovered by Sigma, we extend (A.2) and (H.2) to supercongruences modulo for primes , which appear to be new.
Keywords
Cite
@article{arxiv.1807.03987,
title = {On van Hamme's (A.2) and (H.2) supercongruences},
author = {Ji-Cai Liu},
journal= {arXiv preprint arXiv:1807.03987},
year = {2018}
}
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9 pages