English

The limit points of the bass notes of arithmetic hyperbolic surfaces

Number Theory 2024-04-04 v2 Analysis of PDEs Differential Geometry Probability Spectral Theory

Abstract

We prove that the limit points of the bass notes of arithmetic hyperbolic surfaces are the interval [0,14]\left[0,\frac{1}{4}\right].

Keywords

Cite

@article{arxiv.2403.00928,
  title  = {The limit points of the bass notes of arithmetic hyperbolic surfaces},
  author = {Michael Magee},
  journal= {arXiv preprint arXiv:2403.00928},
  year   = {2024}
}

Comments

32 pages, 2 Figures, presentation polished in current version