A1 Refereed original research article in a scientific journal

Unified treatment of Artin-type problems




AuthorsJärviniemi Olli, Perucca Antonella

PublisherSpringer

Publication year2023

JournalResearch in Number Theory

Journal acronymRes. Number Theory

Article number10

Volume9

Issue1

DOIhttps://doi.org/10.1007/s40993-022-00418-6

Web address https://link.springer.com/article/10.1007/s40993-022-00418-6

Self-archived copy’s web addresshttps://research.utu.fi/converis/portal/detail/Publication/177679252


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).


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