Quantum variance for Eisenstein Series
Number Theory
2018-11-08 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
In this paper, we prove an asymptotic formula for the quantum variance for Eisenstein series on . The resulting quadratic form is compared with the classical variance and the quantum variance for cusp forms. They coincide after inserting certain subtle arithmetic factors, including the central values of certain L-functions.
Keywords
Cite
@article{arxiv.1811.02925,
title = {Quantum variance for Eisenstein Series},
author = {Bingrong Huang},
journal= {arXiv preprint arXiv:1811.02925},
year = {2018}
}
Comments
19 pages. Comments are welcome