Appell series 𝔽1 over finite fields

DOI10.1142/S179304211850046XzbMath1390.33026arXiv1701.02674OpenAlexW2792263298MaRDI QIDQ4609572

Long Li, Rui Mao, Xin Li

Publication date: 4 April 2018

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

Full work available at URL: https://arxiv.org/abs/1701.02674

zbMATH Keywords

generating functionsfinite fieldstransformation formulasreduction formulasAppell series

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24) Appell, Horn and Lauricella functions (33C65) Exponential sums and character sums (11L99)

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 ⋮ Appell’s hypergeometric series over finite fields ⋮ Kampé de Fériet 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

• Hypergeometric Functions Over Finite Fields
• Multiple Hypergeometric Series: Appell Series and Beyond
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