Appell series over finite fields and modular forms
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.
hypergeometric series over finite fields
scientific article; zbMATH DE number 7697560
scientific article