English

A note on the relation between fixed point and orbit count sequences

Dynamical Systems 2012-11-26 v1 Number Theory

Abstract

The relation between fixed point and orbit count sequences is investigated from the point of view of linear mappings on the space of arithmetic functions. Spectral and asymptotic properties are derived and several quantities are explicitly given in terms of Gaussian binomial coefficients.

Keywords

Cite

@article{arxiv.0812.4354,
  title  = {A note on the relation between fixed point and orbit count sequences},
  author = {Michael Baake and Natascha Neumaerker},
  journal= {arXiv preprint arXiv:0812.4354},
  year   = {2012}
}

Comments

10 pages

R2 v1 2026-06-21T11:55:14.145Z