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

By Ji-Cai Liu. Journal of Mathematical Analysis and Applications, 2018

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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.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/5601310de7336773cfc352ac287d20f380da4f44