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arXiv · 1807.03987

On van Hamme's (A.2) and (H.2) supercongruences

Ji-Cai Liu
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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 $p^4$ for primes $p\equiv 3\pmod{4}$, which appear to be new.

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Ji-Cai Liu. 2018-07-11. On van Hamme's (A.2) and (H.2) supercongruences. https://arxiv.org/abs/1807.03987

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