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arxiv: 1801.00921 · v1 · pith:KBGKVXIVnew · submitted 2018-01-03 · 🧮 math.NT

A finite field analogue of the Appell series F₄

classification 🧮 math.NT
keywords appellseriesanalogueclassicalfieldfiniteanalogousdefine
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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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