A Prime Orbit Theorem for Self-Similar Flows and Diophantine Approximation
Spectral Theory
2007-05-23 v1
Abstract
Assuming some regularity of the dynamical zeta function, we establish an explicit formula with an error term for the prime orbit counting function of a suspended flow. We define the subclass of self-similar flows, for which we give an extensive analysis of the error term in the corresponding prime orbit theorem.
Keywords
Cite
@article{arxiv.math/0111067,
title = {A Prime Orbit Theorem for Self-Similar Flows and Diophantine Approximation},
author = {Michel Lapidus and Machiel van Frankenhuysen},
journal= {arXiv preprint arXiv:math/0111067},
year = {2007}
}