A supercongruence motivated by the Legendre family of elliptic curves

Authors

Heng Huat Chan, National University of Singapore
Ling Long, Iowa State University
V. V. Zudilin, The University of Newcastle, Australia

Document Type

Article

Publication Date

10-1-2010

Abstract

A new supercongruence associated with a Gaussian hypergeometric series, as well as one of Mortenson's supercongruences, are established with new congruence relations and the Legendre transforms of certain sequences. © 2010 Pleiades Publishing, Ltd.

Publication Source (Journal or Book title)

Mathematical Notes

First Page

599

Last Page

602

Recommended Citation

Chan, H., Long, L., & Zudilin, V. (2010). A supercongruence motivated by the Legendre family of elliptic curves. Mathematical Notes, 88 (3-4), 599-602. https://doi.org/10.1134/S0001434610090324