A supercongruence motivated by the Legendre family of elliptic curves | NOVA. The University of Newcastle's Digital Repository

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/931438

Title: A supercongruence motivated by the Legendre family of elliptic curves
Author/Creator: Chan, Heng Huat; Long, Ling; Zudilin, W.
Institution: The University of Newcastle. Faculty of Science & Information Technology, School of Mathematical and Physical Sciences
Description: 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.
Relation: Russian Academy of Sciences: Mathematical Notes Vol. 88, Issue 3-4, p. 599-602
Publisher Link: http://dx.doi.org/10.1134/S0001434610090324
Date: 2010
Publisher: Kluwer / Plenum Publishers
Keyword(s): elliptic curve; ramified double cover; finite field; Hasse invariant; supercongruence; Legendre transform
Resource Type: journal article
Rights: The final publication is available at www.springerlink.com
Identifier: http://hdl.handle.net/1959.13/931438
Identifier: ISSN:0001-4346

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