{ "id": "2011.07540", "version": "v1", "published": "2020-11-15T14:43:27.000Z", "updated": "2020-11-15T14:43:27.000Z", "title": "Isomorphism of Skew-Holomorphic Harmonic Maass-Jacobi Forms and Certain Weak Harmonic Maass Forms", "authors": [ "Ranveer Kumar Singh" ], "comment": "9 pages", "categories": [ "math.NT" ], "abstract": "Recently Bringmann, Raum and Richter generalised the definition of Jacobi forms and Skoruppa's skew-holomorphic Jacobi forms by intertwining with harmonic Maass forms. We prove the isomorphism of the Kohnen's plus space analogue of harmonic Maass forms of weight $k-1/2$ for $\\Gamma_0(4m)$ and the space of these skew-holomorphic harmonic Maass-Jacobi forms of weight $k$ and index $m$ for $k$ odd and $m=1$ or a prime.", "revisions": [ { "version": "v1", "updated": "2020-11-15T14:43:27.000Z" } ], "analyses": { "keywords": [ "skew-holomorphic harmonic maass-jacobi forms", "weak harmonic maass forms", "isomorphism", "skoruppas skew-holomorphic jacobi forms", "kohnens plus space analogue" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }