A cubic transformation formula for Appell-Lauricella hypergeometric functions over finite fields

DOI10.1007/s40993-018-0119-9zbMath1462.33011arXiv1701.04526OpenAlexW2573440457MaRDI QIDQ2316177

Holly Swisher, Fang-Ting Tu, Sharon Frechette

Publication date: 26 July 2019

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04526

zbMATH Keywords

hypergeometric functionsfinite fieldsmultivariable hypergeometric functionsPicard curvesLauricella series

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Classical hypergeometric functions, ({}_2F_1) (33C05) Special functions in characteristic (p) (gamma functions, etc.) (33E50)

Related Items (5)

Appell series over finite fields and modular forms ⋮ Appell series over finite fields and Gaussian hypergeometric series ⋮ Hypergeometric functions over finite fields ⋮ A finite field analogue of the Appell series \(F_4\) ⋮ \(_4F_3\)-Gaussian hypergeometric series and traces of Frobenius for elliptic curves

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