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Some new formulas for Appell series over finite fields
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Some new formulas for Appell series over finite fields
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In 1987 Greene introduced the notion of the finite field analogue of hypergeometric series. In this paper we give a finite field analogue of Appell series and obtain some transformation and reduction formulas. We also establish the generating functions for Appell series over finite fields.
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Cited by 1 Pith paper
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Explicit hypergeometric modularity of certain weight two and four Hecke eigenforms
New K4 and K5 eta-quotient families express Hecke eigenform coefficients via finite-field periods and produce identities with Appell series F1^p and F2^p.
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