{ "id": "math/0509613", "version": "v1", "published": "2005-09-26T23:16:14.000Z", "updated": "2005-09-26T23:16:14.000Z", "title": "On the alternating sums of powers of consecutive q-integers", "authors": [ "Taekyun Kim" ], "comment": "5 pages", "categories": [ "math.NT" ], "abstract": "In this paper we construct $q$-Genocchi numbers and polynomials. By using these numbers and polynomials, we investigate the $q$-analogue of alternating sums of powers of consecutive integers due to Euler.", "revisions": [ { "version": "v1", "updated": "2005-09-26T23:16:14.000Z" } ], "analyses": { "subjects": [ "11B68", "11S80" ], "keywords": [ "alternating sums", "consecutive q-integers", "genocchi numbers", "polynomials" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......9613K" } } }