Mertens' theorem for toral automorphisms
Dynamical Systems
2013-05-28 v4
Abstract
A dynamical Mertens' theorem for ergodic toral automorphisms with error term O(N^{-1}) is found, and the influence of resonances among the eigenvalues of unit modulus is examined. Examples are found with many more, and with many fewer, periodic orbits than expected.
Cite
@article{arxiv.0801.2082,
title = {Mertens' theorem for toral automorphisms},
author = {S. Jaidee and S. Stevens and T. Ward},
journal= {arXiv preprint arXiv:0801.2082},
year = {2013}
}
Comments
Revised