Small gaps in the spectrum of tori: asymptotic formulae
Number Theory
2021-08-26 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
We establish an asymptotic formula, uniformly down to the Planck scale, for the number of small gaps between the first N eigenvalues of the Laplacian on almost all flat tori and also on almost all rectangular flat tori.
Cite
@article{arxiv.2108.11162,
title = {Small gaps in the spectrum of tori: asymptotic formulae},
author = {Valentin Blomer and Maksym Radziwiłł},
journal= {arXiv preprint arXiv:2108.11162},
year = {2021}
}
Comments
24 pages