Artin's Primitive Root Conjecture and related questions

Contact: Pieter Moree (moree@mpim-bonn.mpg.de)

This talk about Artin's Primitive Root Conjecture is meant to be the follow-up of the previous talk by Antonella Perucca and relies on it. Building on her work with Olli Järviniemi about a unified treatment for Artin-type problems, we prove new results related to Artin's Conjecture. We are able to work in full generality, namely we work over any number field $K$ and with finitely many subgroups of $K^\times$ of positive rank. We present a work in progress and also mention another interesting work in progress joint with Pieter Moree.