Group automorphisms with prescribed growth of periodic points, and small primes in arithmetic progressions in intervals
Dynamical Systems
2013-09-11 v1 Number Theory
Abstract
We investigate the question of which growth rates are possible for the number of periodic points of a compact group automorphism. Our arguments involve a modification of Linnik's Theorem, concerning small prime numbers in arithmetic progressions which lie in intervals.
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Cite
@article{arxiv.1309.2562,
title = {Group automorphisms with prescribed growth of periodic points, and small primes in arithmetic progressions in intervals},
author = {Alan Haynes and Christopher White},
journal= {arXiv preprint arXiv:1309.2562},
year = {2013}
}
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17 pages