Modular symbols have a normal distribution
数论
2007-05-23 v1
摘要
We prove that the modular symbols appropriately normalized and ordered have a Gaussian distribution for all cofinite subgroups of SL_2(R). We use spectral deformations to study the poles and the residues of Eisenstein series twisted by power of modular symbols.
引用
@article{arxiv.math/0308120,
title = {Modular symbols have a normal distribution},
author = {Yiannis N. Petridis and Morten Skarsholm Risager},
journal= {arXiv preprint arXiv:math/0308120},
year = {2007}
}
备注
32 pages