On the distribution of $\alpha p+\beta$ modulo one for primes of type $p=ar^2+1$
Number Theory
2024-04-05 v2
Abstract
A classical problem in analytic number theory is to study the distribution of fractional part modulo 1, where is irrational and runs over the set of primes. We consider the subsequence generated by the primes such that and prove that its distribution has a similar property.
Cite
@article{arxiv.2404.01047,
title = {On the distribution of $\alpha p+\beta$ modulo one for primes of type $p=ar^2+1$},
author = {T. Todorova},
journal= {arXiv preprint arXiv:2404.01047},
year = {2024}
}