{ "id": "1504.00356", "version": "v3", "published": "2015-04-01T15:36:41.000Z", "updated": "2015-04-15T12:40:32.000Z", "title": "Lacunary recurrences for Eisenstein series", "authors": [ "Michael H. Mertens", "Larry Rolen" ], "comment": "6 pages, more detailed proofs in v3, accepted for publication in Research in Number Theory", "categories": [ "math.NT" ], "abstract": "Using results from the theory of modular forms, we reprove and extend a result of Romik about lacunary recurrence relations for Eisenstein series.", "revisions": [ { "version": "v1", "updated": "2015-04-01T15:36:41.000Z", "comment": "5 pages", "journal": null, "doi": null }, { "version": "v2", "updated": "2015-04-09T09:29:45.000Z", "comment": "5 pages, a few small typos fixed in v2", "journal": null, "doi": null }, { "version": "v3", "updated": "2015-04-15T12:40:32.000Z" } ], "analyses": { "keywords": [ "eisenstein series", "lacunary recurrence relations", "modular forms" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150400356M" } } }