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Matematicheskie Zametki, 2010, Volume 88, Issue 4, Pages 620–624
DOI: https://doi.org/10.4213/mzm8851 (Mi mzm8851) 		 
This article is cited in 8 scientific papers (total in 8 papers)

A Supercongruence Motivated by the Legendre Family of Elliptic Curves

Heng Huat Chana, Ling Longb, W. Zudilinc

a National University of Singapore
b Iowa State University, USA
c University of Newcastle, Australia
Full-text PDF (397 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm8851
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.
Keywords: elliptic curve, ramified double cover, finite field, Hasse invariant, supercongruence, Legendre transform.
Received: 24.01.2010
English version:
Mathematical Notes, 2010, Volume 88, Issue 4, Pages 599–602
DOI: https://doi.org/10.1134/S0001434610090324
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: Heng Huat Chan, Ling Long, W. Zudilin, “A Supercongruence Motivated by the Legendre Family of Elliptic Curves”, Mat. Zametki, 88:4 (2010), 620–624; Math. Notes, 88:4 (2010), 599–602
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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