Hypergeometric functions over finite fields

DOI10.1090/memo/1382OpenAlexW4303446729MaRDI QIDQ5042714

Ravi Ramakrishna, Ling Long, Fang-Ting Tu, Jenny G. Fuselier, Holly Swisher

Publication date: 25 October 2022

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.02575

zbMATH Keywords

Gauss sumelliptic curvesLegendre curvesperiod functionsJacobi sumFermat curvesGrössencharactersBirch and Swinnerton-Dyer Conjecture

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Exponential sums (11T23) Other character sums and Gauss sums (11T24) Galois representations (11F80) Generalized hypergeometric series, ({}_pF_q) (33C20) Zeta functions and (L)-functions (11S40) Classical hypergeometric functions, ({}_2F_1) (33C05) Special functions in characteristic (p) (gamma functions, etc.) (33E50)

Related Items

A whipple \(_7F_6\) formula revisited, The \(\ell\)-adic hypergeometric function and associators, Transformations for Appell series over finite fields and traces of Frobenius for elliptic curves, Hypergeometric functions over finite fields

Uses Software

• LMFDB

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