Congruences for 2 F 1 Hypergeometric Functions Over Finite Fields |
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Authors: | Boylan Matthew |
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Affiliation: | (1) Department of Mathematics, University of Wisconsin, Madison, Wisconsin, 53706 |
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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. |
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Keywords: | Gaussian hypergeometric functions |
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