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On van Hamme's (A.2) and (H.2) supercongruences
- Publication Year :
- 2018
-
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.<br />Comment: 9 pages
- Subjects :
- Mathematics - Number Theory
Mathematics - Combinatorics
11A07, 05A19, 33C20
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1807.03987
- Document Type :
- Working Paper