{ "id": "1704.03509", "version": "v1", "published": "2017-04-04T15:47:39.000Z", "updated": "2017-04-04T15:47:39.000Z", "title": "A finite field analogue for Appell series $F_3$", "authors": [ "Bing He" ], "comment": "16 pages. Any critical suggestions and comments are always welcomed", "categories": [ "math.CA" ], "abstract": "In this paper we introduce a finite field analogue for the Appell series $F_3$ and give some reduction formulae and certain generating functions for this function over finite fields.", "revisions": [ { "version": "v1", "updated": "2017-04-04T15:47:39.000Z" } ], "analyses": { "subjects": [ "33C65", "11T24", "11L05", "33C20" ], "keywords": [ "finite field analogue", "appell series", "reduction formulae" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }