{ "id": "1905.03475", "version": "v1", "published": "2019-05-09T07:39:52.000Z", "updated": "2019-05-09T07:39:52.000Z", "title": "Some Remarks on Systems of Equiangular Lines", "authors": [ "Mengyue Cao", "Jack H. Koolen", "Jae Young Yang" ], "comment": "4 pages", "categories": [ "math.CO" ], "abstract": "In this note, we study the maximum number $N_\\alpha(d)$ of a system of equiangular lines in $\\mathbb{R}^d$ with cosine $\\alpha$, where $\\frac{1}{\\alpha}$ is not an odd positive integer. This note is motivated by a remark in a $2018$ paper by Balla, Dr\\\"{a}xler, Keevash and Sudakov.", "revisions": [ { "version": "v1", "updated": "2019-05-09T07:39:52.000Z" } ], "analyses": { "subjects": [ "05C50", "05C22" ], "keywords": [ "equiangular lines", "maximum number", "odd positive integer" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }