A Supercongruence Motivated by the Legendre Family of Elliptic Curves
Matematičeskie zametki, Tome 88 (2010) no. 4, pp. 620-624
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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, supercongruence
Mots-clés : Hasse invariant, Legendre transform.
Mots-clés : Hasse invariant, Legendre transform.
@article{MZM_2010_88_4_a12,
author = {Heng Huat Chan and Ling Long and W. Zudilin},
title = {A {Supercongruence} {Motivated} by the {Legendre} {Family} of {Elliptic} {Curves}},
journal = {Matemati\v{c}eskie zametki},
pages = {620--624},
publisher = {mathdoc},
volume = {88},
number = {4},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_4_a12/}
}
TY - JOUR AU - Heng Huat Chan AU - Ling Long AU - W. Zudilin TI - A Supercongruence Motivated by the Legendre Family of Elliptic Curves JO - Matematičeskie zametki PY - 2010 SP - 620 EP - 624 VL - 88 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2010_88_4_a12/ LA - ru ID - MZM_2010_88_4_a12 ER -
Heng Huat Chan; Ling Long; W. Zudilin. A Supercongruence Motivated by the Legendre Family of Elliptic Curves. Matematičeskie zametki, Tome 88 (2010) no. 4, pp. 620-624. http://geodesic.mathdoc.fr/item/MZM_2010_88_4_a12/