Prime number theorem for regular Toeplitz subshifts
Dynamical Systems
2023-06-22 v2 Number Theory
Abstract
We prove that neither a prime nor {an l-almost prime} number theorem hold in the class of regular Toeplitz subshifts. But, {when a quantitative strengthening of the regularity with respect to the periodic structure involving Euler's totient function is assumed}, then the two theorems hold.
Cite
@article{arxiv.2004.10418,
title = {Prime number theorem for regular Toeplitz subshifts},
author = {Krzysztof Frączek and Adam Kanigowski and Mariusz Lemańczyk},
journal= {arXiv preprint arXiv:2004.10418},
year = {2023}
}
Comments
25 pages, no figures