An improved remainder estimate in the Weyl formula for the planar disk
Spectral Theory
2017-05-23 v1 Number Theory
Abstract
In \cite{colin}, Y. Colin de Verdi\`ere proved that the remainder term in the two-term Weyl formula for the eigenvalue counting function for the Dirichlet Laplacian associated with the planar disk is of order . In this paper, by combining with the method of exponential sum estimation, we will give a sharper remainder term estimate .
Keywords
Cite
@article{arxiv.1705.07308,
title = {An improved remainder estimate in the Weyl formula for the planar disk},
author = {Jingwei Guo and Weiwei Wang and Zuoqin Wang},
journal= {arXiv preprint arXiv:1705.07308},
year = {2017}
}