{ "id": "1603.07780", "version": "v1", "published": "2016-03-24T23:25:35.000Z", "updated": "2016-03-24T23:25:35.000Z", "title": "Representations by octonary quadratic forms with coefficients $1$, $2$, $3$ or $6$", "authors": [ "Ayşe Alaca", "M. Nesibe Kesicioğlu" ], "comment": "15 pages", "categories": [ "math.NT" ], "abstract": "Using modular forms we determine formulas for the number of representations of a positive integer by diagonal octonary quadratic forms with coefficients $1$, $2$, $3$ or $6$.", "revisions": [ { "version": "v1", "updated": "2016-03-24T23:25:35.000Z" } ], "analyses": { "subjects": [ "11E25", "11F27" ], "keywords": [ "representations", "coefficients", "diagonal octonary quadratic forms", "modular forms" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }