{ "id": "1211.5911", "version": "v1", "published": "2012-11-26T11:09:03.000Z", "updated": "2012-11-26T11:09:03.000Z", "title": "A trace formula for vector-valued modular forms", "authors": [ "P. Bantay" ], "comment": "14 pages. arXiv admin note: text overlap with arXiv:1104.1278", "categories": [ "math.NT" ], "abstract": "We present a formula for vector-valued modular forms, expressing the value of the Hilbert-polynomial of the module of holomorphic forms evaluated at specific arguments in terms of traces of representation matrices, restricting the weight distribution of the free generators.", "revisions": [ { "version": "v1", "updated": "2012-11-26T11:09:03.000Z" } ], "analyses": { "subjects": [ "11F99", "13C05" ], "keywords": [ "vector-valued modular forms", "trace formula", "holomorphic forms", "specific arguments", "representation matrices" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1211.5911B" } } }