English

Limit points of uniform arithmetic bass notes

Spectral Theory 2024-12-20 v1 Differential Geometry Geometric Topology Number Theory Probability

Abstract

We prove that the set of limit points of the set of all spectral gaps of closed arithmetic hyperbolic surfaces equals [0,14][0,\frac{1}{4}].

Cite

@article{arxiv.2412.15111,
  title  = {Limit points of uniform arithmetic bass notes},
  author = {Will Hide and Bram Petri},
  journal= {arXiv preprint arXiv:2412.15111},
  year   = {2024}
}

Comments

21 pages, 3 figures, 1 ancillary file

R2 v1 2026-06-28T20:42:40.409Z