{ "id": "1708.05503", "version": "v1", "published": "2017-08-18T04:07:48.000Z", "updated": "2017-08-18T04:07:48.000Z", "title": "Equidistribution of signs for Hilbert modular forms of half-integral weight", "authors": [ "Surjeet Kaushik", "Narasimha Kumar", "Naomi Tanabe" ], "categories": [ "math.NT" ], "abstract": "We prove an equidistribution of signs for the Fourier coefficients of Hilbert modular forms of half-integral weight. Our study focuses on certain subfamilies of coefficients that are accessible via the Shimura correspondence. This is a generalization of the result of Inam and Wiese to the setting of totally real number fields", "revisions": [ { "version": "v1", "updated": "2017-08-18T04:07:48.000Z" } ], "analyses": { "subjects": [ "11F37", "11F30", "11F03", "11F41" ], "keywords": [ "hilbert modular forms", "half-integral weight", "equidistribution", "totally real number fields", "study focuses" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }