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Congruences for 2 F 1 Hypergeometric Functions Over Finite Fields
Authors:Boylan  Matthew
Affiliation:(1) Department of Mathematics, University of Wisconsin, Madison, Wisconsin, 53706
Abstract:In a recent paper, Ono and Penniston proved a family of congruences for 3F2 hypergeometric functions over finite fields. They use the relationship between these functions and the arithmetic of a certain family of elliptic curves to obtain their congruences. Here we prove analogous congruences for 2F1 hypergeometric functions.
Keywords:Gaussian hypergeometric functions
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