{ "id": "0910.0787", "version": "v1", "published": "2009-10-05T15:17:36.000Z", "updated": "2009-10-05T15:17:36.000Z", "title": "Ramanujan congruences for Siegel modular forms", "authors": [ "Michael Dewar", "Olav K. Richter" ], "comment": "11 pages", "categories": [ "math.NT" ], "abstract": "We determine conditions for the existence and non-existence of Ramanujan-type congruences for Jacobi forms. We extend these results to Siegel modular forms of degree 2 and as an application, we establish Ramanujan-type congruences for explicit examples of Siegel modular forms.", "revisions": [ { "version": "v1", "updated": "2009-10-05T15:17:36.000Z" } ], "analyses": { "subjects": [ "11F33", "11F46", "11F50" ], "keywords": [ "siegel modular forms", "ramanujan congruences", "determine conditions", "jacobi forms", "establish ramanujan-type congruences" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0910.0787D" } } }