An Appell series over finite fields

DOI10.1016/j.ffa.2017.08.007zbMath1373.33023arXiv1609.08937OpenAlexW2963626228MaRDI QIDQ2406690

Bing He, Ruiming Zhang, Long Li

Publication date: 5 October 2017

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.08937

zbMATH Keywords

generating functiontransformation formulareduction formulaAppell series over finite fields

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24) Generalized hypergeometric series, ({}_pF_q) (33C20) Appell, Horn and Lauricella functions (33C65)

Related Items (9)

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 ⋮ Some properties for Appell series F₂ 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 ⋮ Lauricella hypergeometric series \(F_A^{(n)}\) over finite fields

Cites Work

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• Transformations of well-poised hypergeometric functions over finite fields
• Evaluations of hypergeometric functions over finite fields
• Hypergeometric functions over finite fields
• Hypergeometric Functions Over Finite Fields
• Multiple Hypergeometric Series: Appell Series and Beyond

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