{ "id": "1906.03370", "version": "v1", "published": "2019-06-08T01:48:02.000Z", "updated": "2019-06-08T01:48:02.000Z", "title": "A Note on the Bateman-Horn Conjecture", "authors": [ "Weixiong Li" ], "categories": [ "math.NT" ], "abstract": "We report the results of our empirical investigations on the Bateman-Horn conjecture. This conjecture, in its commonly known form, produces rather large deviations when the polynomials involved are not monic. We propose a modified version of the conjecture which empirically demonstrates remarkable accuracy even for modest values of primes.", "revisions": [ { "version": "v1", "updated": "2019-06-08T01:48:02.000Z" } ], "analyses": { "subjects": [ "11N32", "11N13", "11N05" ], "keywords": [ "bateman-horn conjecture", "large deviations", "modest values", "empirical investigations", "polynomials" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }