Lauricella hypergeometric series \(F_A^{(n)}\) over finite fields

DOI10.1007/s11139-021-00458-zzbMath1502.33005arXiv2011.02755OpenAlexW3184225880MaRDI QIDQ2117545

Arjun Singh Chetry, Gautam Kalita

Publication date: 21 March 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.02755

zbMATH Keywords

finite fieldsgenerating functionmultinomial coefficientsLauricella series

Mathematics Subject Classification ID

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

Cites Work

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• A finite field analogue of the Appell series \(F_4\)
• An Appell series over finite fields
• Some decomposition formulas associated with the Lauricella function \(F_{A}^{(r)}\) and other multiple hypergeometric functions
• On some formulas for the Appell functionF₂(a, b, b′;c, c′;w; z)
• Hypergeometric Functions Over Finite Fields
• Appell series 𝔽1 over finite fields
• Appell’s hypergeometric series over finite fields
• Some properties for Appell series F₂ over finite fields
• Multiple Hypergeometric Series: Appell Series and Beyond

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