{ "id": "2005.04786", "version": "v1", "published": "2020-05-10T21:11:49.000Z", "updated": "2020-05-10T21:11:49.000Z", "title": "On the Bloch--Kato conjecture for the symmetric cube", "authors": [ "David Loeffler", "Sarah Livia Zerbes" ], "comment": "3 pages", "categories": [ "math.NT" ], "abstract": "We prove one inclusion of the Iwasawa Main Conjecture, and the Bloch-Kato conjecture in analytic rank 0, for the symmetric cube of a level 1 modular form.", "revisions": [ { "version": "v1", "updated": "2020-05-10T21:11:49.000Z" } ], "analyses": { "subjects": [ "11F03", "11F46", "11F67", "11F80" ], "keywords": [ "symmetric cube", "bloch-kato conjecture", "iwasawa main conjecture", "analytic rank" ], "note": { "typesetting": "TeX", "pages": 3, "language": "en", "license": "arXiv", "status": "editable" } } }