Prime number theorem for regular Toeplitz subshifts
arXiv:2004.10418 · doi:10.1017/etds.2021.3
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.
25 pages, no figures