English

Thermodynamic expansion to arbitrary moduli

Number Theory 2015-07-30 v1 Dynamical Systems

Abstract

We extend the thermodynamic expansion results in [BourgainGamburdSarnak2011, MageeOhWinter2015] from square-free to arbitrary moduli by developing a novel decoupling technique and applying [BourgainVarju2012].

Cite

@article{arxiv.1507.07993,
  title  = {Thermodynamic expansion to arbitrary moduli},
  author = {Jean Bourgain and Alex Kontorovich and Michael Magee},
  journal= {arXiv preprint arXiv:1507.07993},
  year   = {2015}
}

Comments

9 pages

R2 v1 2026-06-22T10:21:09.031Z