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Artin's Primitive Root Conjecture and related questions

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Pietro Sgobba (NT Lunch Seminar)
Luxemburg University
Wed, 19/10/2022 - 16:30 - 17:00
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Contact: Pieter Moree (


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.


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