
arXiv: 1609.08937
In this paper we present a finite field analogue for one of the Appell series. We shall derive its transformations, reduction formulas as well as generating functions.
16 pages
Other character sums and Gauss sums, Primary 33C65, 11T24, Secondary 11L05, 33C20, Appell, Horn and Lauricella functions, Generalized hypergeometric series, \({}_pF_q\), generating function, Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), transformation formula, Appell series over finite fields, reduction formula
Other character sums and Gauss sums, Primary 33C65, 11T24, Secondary 11L05, 33C20, Appell, Horn and Lauricella functions, Generalized hypergeometric series, \({}_pF_q\), generating function, Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), transformation formula, Appell series over finite fields, reduction formula
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