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.
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Published in Russian in Matematicheskie Zametki, 2010, Vol. 88, No. 4, pp. 620–624.
In blessed memory of Anatolii Alekseevich Karatsuba
The text was submitted by the authors in English.
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Chan, H.H., Long, L. & Zudilin, V.V. A supercongruence motivated by the Legendre family of elliptic curves. Math Notes 88, 599–602 (2010). https://doi.org/10.1134/S0001434610090324
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DOI: https://doi.org/10.1134/S0001434610090324