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Unified treatment of Artin-type problems

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Antonella Perucca (NT Lunch Seminar)
Luxemburg University
Wed, 19/10/2022 - 15:15 - 15:45
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Contact: Pieter Moree (

Artin's Primitive Root Conjecture dates back to 1927. In its most basic form it states that for an integer $a$ (different from $0,1,-1$) that is not a square there exist infinitely many primes $p$ such that $a$ modulo $p$ generates the multiplicative group at $p$.
In 1967, Hooley was able to prove this fact relying on GRH and since then many variants have been considered. In this talk we present a joint work with Järviniemi, where we explain how to deal with a question more general than Artin's Conjecture that unifies several previously considered variants.


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