The correlation between multiplicities of closed geodesics on the modular surface
Number Theory
2009-11-07 v1 Mathematical Physics
math.MP
Abstract
An explicit product representation is proved for the correlation function of the multiplicities of closed geodesics on the modular surface. This makes rigorous part of the investigation of Bogomolny, Leyvraz and Schmit on the correlation of the eigenvalues of the Laplacian on the modular surface. The result can also be seen as a (rigorously proved) analogue of the Hardy-Littlewood twin prime conjecture.
Cite
@article{arxiv.math/0104234,
title = {The correlation between multiplicities of closed geodesics on the modular surface},
author = {Manfred Peter},
journal= {arXiv preprint arXiv:math/0104234},
year = {2009}
}
Comments
17 pages