{ "id": "1609.08745", "version": "v1", "published": "2016-09-28T02:53:36.000Z", "updated": "2016-09-28T02:53:36.000Z", "title": "A note on Diophantine approximation with Gaussian primes", "authors": [ "Stephan Baier" ], "comment": "17 pages", "categories": [ "math.NT" ], "abstract": "We investigate the distribution of $p\\theta$ modulo 1, where $\\theta$ is a complex number which is not contained in $\\mathbb{Q}(i)$, and $p$ runs over the Gaussian primes.", "revisions": [ { "version": "v1", "updated": "2016-09-28T02:53:36.000Z" } ], "analyses": { "subjects": [ "11J25", "11J71" ], "keywords": [ "gaussian primes", "diophantine approximation", "complex number" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable" } } }