Appell series over finite fields and modular forms
type: Item
instance of: scholarly article
title: Appell series over finite fields and modular forms
author: Mohit Tripathi
published in: Finite Fields and their Applications
publication date: 2023-06-19T00:00:00Z
review text: The author finds finite field analogues of classical identities involving classical \(F_4\)-Appell series and \({}_3F_2\)-classical hypergeometric series. In particular, he expresses the special values of \(F_4^{*}\), a finite field analogue of the classical Appell series \(F_4\), in terms of the Fourier coefficients of weight three modular forms.
reviewed by: Lei Yang
Mathematics Subject Classification ID: 33C65
Mathematics Subject Classification ID: 33C05
Mathematics Subject Classification ID: 33C20
Mathematics Subject Classification ID: 11F30
Mathematics Subject Classification ID: 11F03
zbMATH DE Number: 7697560
zbMATH Keywords: hypergeometric series over finite fields
zbMATH Keywords: Appell series
zbMATH Keywords: Fourier coefficients of modular forms
MaRDI profile type: Publication
full work available at URL: j.ffa.2023.102230
OpenAlex ID: W4376631366
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DOI: 10.1016/J.FFA.2023.102230
description: scientific article; zbMATH DE number 7697560