A+ CATEGORY SCIENTIFIC UNIT

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Supercongruences arising from hypergeometric series identities

Volume 193 / 2020

Ji-Cai Liu Acta Arithmetica 193 (2020), 175-182 MSC: Primary 11A07; Secondary 05A19, 33C20. DOI: 10.4064/aa190311-11-9 Published online: 24 January 2020

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 can be regarded as a $p$-adic analogue of an identity due to Ramanujan.

Authors

  • Ji-Cai LiuDepartment of Mathematics
    Wenzhou University
    Wenzhou 325035, P.R. China
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image