{ "id": "1711.05924", "version": "v1", "published": "2017-11-16T04:53:44.000Z", "updated": "2017-11-16T04:53:44.000Z", "title": "Improving an inequality for the divisor function", "authors": [ "Jeffrey P. S. Lay" ], "comment": "8 pages", "categories": [ "math.NT" ], "abstract": "We improve using elementary means an explicit bound on the divisor function due to Friedlander and Iwaniec. Consequently we modestly improve a result regarding a sieving inequality for Gaussian sequences.", "revisions": [ { "version": "v1", "updated": "2017-11-16T04:53:44.000Z" } ], "analyses": { "subjects": [ "11N37", "11N36", "11N56", "11N64" ], "keywords": [ "divisor function", "explicit bound", "gaussian sequences", "elementary means" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }