A finite field analogue of the Appell series \(F_4\)

DOI10.1007/s40993-018-0128-8zbMath1428.33028arXiv1801.00921OpenAlexW2963824079MaRDI QIDQ2316276

Rupam Barman, Mohit Tripathi

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/1801.00921

zbMATH Keywords

hypergeometric seriesGauss and Jacobi sumsAppell serieshypergeometric series over finite fields

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24) Appell, Horn and Lauricella functions (33C65)

Related Items (9)

Certain product formulas and values of Gaussian hypergeometric series ⋮ Transformations for Appell series over finite fields and traces of Frobenius for elliptic curves ⋮ Appell series over finite fields and modular forms ⋮ Appell’s hypergeometric series over finite fields ⋮ Kampé de Fériet hypergeometric functions over finite fields ⋮ Appell series over finite fields and Gaussian hypergeometric series ⋮ Product formulas for hypergeometric functions over finite fields ⋮ \(_4F_3\)-Gaussian hypergeometric series and traces of Frobenius for elliptic curves ⋮ Lauricella hypergeometric series \(F_A^{(n)}\) over finite fields

Cites Work

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• Transformations of well-poised hypergeometric functions over finite fields
• Hypergeometric functions over finite fields
• A cubic transformation formula for Appell-Lauricella hypergeometric functions over finite fields
• An Appell series over finite fields
• Hypergeometric Functions Over Finite Fields
• Exponential Sums and Differential Equations. (AM-124)
• Appell series 𝔽1 over finite fields
• Appell’s hypergeometric series over finite fields
• Some Infinite Integrals Involving Bessel Functions

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