Sign changes of the Eisenstein series on the critical line
Number Theory
2018-10-16 v1 Spectral Theory
Abstract
We prove a quantitative lower bound on the number of nodal domains of the real-analytic Eisenstein series. The main tool in the proof is a quantitative restricted QUE theorem where the support of the test function is allowed to shrink with the Laplace eigenvalue.
Keywords
Cite
@article{arxiv.1606.07782,
title = {Sign changes of the Eisenstein series on the critical line},
author = {Junehyuk Jung and Matthew P. Young},
journal= {arXiv preprint arXiv:1606.07782},
year = {2018}
}
Comments
19 pages