Appell’s hypergeometric series over finite fields

DOI10.1142/S1793042120500347zbMath1440.33012OpenAlexW2978369641MaRDI QIDQ5111932

Rupam Barman, Neelam Saikia, Mohit Tripathi

Publication date: 27 May 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042120500347

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 (8)

Transformations for Appell series over finite fields and traces of Frobenius for elliptic curves ⋮ Appell series over finite fields and modular forms ⋮ Kampé de Fériet hypergeometric functions over finite fields ⋮ Hypergeometric functions over finite fields ⋮ Appell series over finite fields and Gaussian hypergeometric series ⋮ A finite field analogue of the Appell series \(F_4\) ⋮ \(_4F_3\)-Gaussian hypergeometric series and traces of Frobenius for elliptic curves ⋮ Lauricella hypergeometric series \(F_A^{(n)}\) over finite fields

Cites Work

• Unnamed Item
• Transformations of well-poised hypergeometric functions over finite fields
• Hypergeometric functions over finite fields
• A finite field analogue of the Appell series \(F_4\)
• An Appell series over finite fields
• Hypergeometric Functions Over Finite Fields
• Exponential Sums and Differential Equations. (AM-124)
• Appell series 𝔽1 over finite fields

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