{ "id": "2202.11329", "version": "v1", "published": "2022-02-23T07:13:49.000Z", "updated": "2022-02-23T07:13:49.000Z", "title": "Unified treatment of Artin-type problems", "authors": [ "Olli Järviniemi", "Antonella Perucca" ], "comment": "16 pages", "categories": [ "math.NT" ], "abstract": "Since Hooley's seminal 1967 resolution of Artin's primitive root conjecture under the Generalized Riemann Hypothesis, numerous variations of the conjecture have been considered. We present a framework generalizing and unifying many previously considered variants, and prove results in this full generality (under GRH).", "revisions": [ { "version": "v1", "updated": "2022-02-23T07:13:49.000Z" } ], "analyses": { "subjects": [ "11R45", "11R20", "12F10" ], "keywords": [ "artin-type problems", "unified treatment", "artins primitive root conjecture", "hooleys seminal", "generalized riemann hypothesis" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }