A supercongruence motivated by the Legendre family of elliptic curves

Chan, Heng Huat; Long, Ling; Zudilin, W.

A supercongruence motivated by the Legendre family of elliptic curves

journal contribution

posted on 2025-05-11, 23:08 authored by Heng Huat Chan, Ling Long, W. Zudilin

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.

History

Journal title

Russian Academy of Sciences: Mathematical Notes

Volume

88

Issue

3-4

Pagination

599-602

Publisher

Kluwer / Plenum Publishers

Language

en, English

College/Research Centre

Faculty of Science and Information Technology

School

School of Mathematical and Physical Sciences

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The final publication is available at www.springerlink.com

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Keywords

elliptic curve ramified double cover finite field Hasse invariant supercongruence Legendre transform

A supercongruence motivated by the Legendre family of elliptic curves

History

Journal title

Volume

Issue

Pagination

Publisher

Language

College/Research Centre

School

Rights statement

Usage metrics

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Keywords

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