Supercongruences arising from hypergeometric series identities

Abstract

By using some hypergeometric series identities, we prove two supercongruences on truncated hypergeometric series, one of which is related to a modular Calabi--Yau threefold, and the other is regarded as $p$-adic analogue of an identity due to Ramanujan.

9 pages

References in corpus (1)

• A p-adic analogue of a formula of Ramanujan