Resonances and convex co-compact congruence subgroups of PSL2(Z)
Spectral Theory
2014-09-10 v1 Number Theory
Abstract
This papers deals with congruence subgroups of convex cocompact subgroups of PSL2(Z). We examine the behaviour of the resonance spectrum when the congruence parameter q goes to infinity: we show a lower bound for the counting function in discs and an upper bound in vertical strips. These results show drastically different behaviour on both sides of the critical line .
Keywords
Cite
@article{arxiv.1409.2809,
title = {Resonances and convex co-compact congruence subgroups of PSL2(Z)},
author = {Frédéric Naud and Dmitry Jakobson},
journal= {arXiv preprint arXiv:1409.2809},
year = {2014}
}