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A finite field analogue of the Appell series $F_4$

Published 3 Jan 2018 in math.NT | (1801.00921v1)

Abstract: We define a function $F_4{\ast}$ as a finite field analogue of the classical Appell series $F_4$ using Gauss sums. We establish identities for $F_4{\ast}$ analogous to those satisfied by the classical Appell series $F_4$.

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