English

A dynamical approach to Maass cusp forms

Dynamical Systems 2015-03-20 v2 Number Theory

Abstract

For nonuniform cofinite Fuchsian groups Γ\Gamma which satisfy a certain additional geometric condition, we show that the Maass cusp forms for Γ\Gamma are isomorphic to 1-eigenfunctions of a finite-term transfer operator. The isomorphism is constructive.

Keywords

Cite

@article{arxiv.1208.6178,
  title  = {A dynamical approach to Maass cusp forms},
  author = {Anke D. Pohl},
  journal= {arXiv preprint arXiv:1208.6178},
  year   = {2015}
}

Comments

32 pages, to appear in Journal of Modern Dynamics

R2 v1 2026-06-21T21:57:21.479Z