Olli Järviniemi

collaborators

3 papers

math.NT2022

Unified treatment of Artin-type problems II

Olli Järviniemi, Antonella Perucca, Pietro Sgobba

This work concerns Artin's Conjecture on primitive roots and related problems for number fields. Let $K$ be a number field and let $W_{1}$ to $W_{n}$ be finitely generated subgroups of…

math.NT2022

Unified treatment of Artin-type problems

Olli Järviniemi, Antonella Perucca

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…

math.NT2021

Positive lower density for prime divisors of generic linear recurrences

Olli Järviniemi

Let $d \geq 3$ be an integer and let $P \in Z [x]$ be a polynomial of degree $d$ whose Galois group is $S_{d}$ . Let $(a_{n})$ be a linearly recuresive sequence of integers which…