{ "id": "1902.06104", "version": "v1", "published": "2019-02-16T14:02:08.000Z", "updated": "2019-02-16T14:02:08.000Z", "title": "A simple proof of a congruence for a series involving the little $q$-Jacobi polynomials", "authors": [ "Atul Dixit" ], "comment": "3 pages, submitted for publication", "categories": [ "math.CO", "math.NT" ], "abstract": "We give a simple and a more explicit proof of a mod $4$ congruence for a series involving the little $q$-Jacobi polynomials which arose in a recent study of a certain restricted overpartition function.", "revisions": [ { "version": "v1", "updated": "2019-02-16T14:02:08.000Z" } ], "analyses": { "subjects": [ "11P81", "05A17" ], "keywords": [ "jacobi polynomials", "simple proof", "congruence", "explicit proof" ], "note": { "typesetting": "TeX", "pages": 3, "language": "en", "license": "arXiv", "status": "editable" } } }