{ "id": "math/0001085", "version": "v2", "published": "2000-01-14T21:34:42.000Z", "updated": "2000-01-15T05:28:40.000Z", "title": "Quadratic minima and modular forms II", "authors": [ "Barry Brent" ], "comment": "7 pages. AMS-TeX. Part I is math.NT/9801072.", "journal": "Acta Arithmetica, 96 (2001), 371-387", "categories": [ "math.NT" ], "abstract": "We give upper bounds on the size of the gap between a non-zero constant term and the next non-zero Fourier coefficient of an entire level two modular form. We give upper bounds for the minimum positive integer represented by a level two even positive-definite quadratic form. These bounds extend partial results in part I.", "revisions": [ { "version": "v2", "updated": "2000-01-15T05:28:40.000Z" } ], "analyses": { "subjects": [ "11F11", "11E45" ], "keywords": [ "modular form", "quadratic minima", "upper bounds", "bounds extend partial results", "non-zero constant term" ], "tags": [ "journal article" ], "publication": { "doi": "10.4064/aa96-4-8", "journal": "Acta Arithmetica", "year": 2001, "volume": 96, "number": 4, "pages": 381 }, "note": { "typesetting": "AMS-TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001AcAri..96..381B" } } }