{ "id": "1807.07518", "version": "v1", "published": "2018-07-19T16:22:03.000Z", "updated": "2018-07-19T16:22:03.000Z", "title": "Metric number theory of Fourier coefficients of Modular Forms", "authors": [ "Paloma Bengoechea" ], "categories": [ "math.NT" ], "abstract": "We discuss the approximation of real numbers by Fourier coefficients of newforms, following recent work of Alkan, Ford and Zaharescu and using the (now proved) Sato-Tate Conjecture.", "revisions": [ { "version": "v1", "updated": "2018-07-19T16:22:03.000Z" } ], "analyses": { "keywords": [ "metric number theory", "fourier coefficients", "modular forms", "real numbers", "sato-tate conjecture" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }