{ "id": "math/0503215", "version": "v2", "published": "2005-03-11T10:58:46.000Z", "updated": "2005-04-16T13:35:31.000Z", "title": "Multiplicities of representations in spaces of modular forms", "authors": [ "BinYong Hsie" ], "comment": "3 pages", "categories": [ "math.NT" ], "abstract": "This paper shows that for a given irreducible representation $\\rho$ of $\\Gamma/\\Gamma_1$, the two functions dim($M_k(\\Gamma_1,\\rho)$) and dim($S_k(\\Gamma_1,\\rho)$) of $k$ are almost linear functions.", "revisions": [ { "version": "v2", "updated": "2005-04-16T13:35:31.000Z" } ], "analyses": { "subjects": [ "11F11" ], "keywords": [ "modular forms", "multiplicities", "linear functions" ], "note": { "typesetting": "TeX", "pages": 3, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......3215H" } } }