Resonances and convex co-compact congruence subgroups of PSL2(Z)

Frédéric Naud; Dmitry Jakobson

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arXiv · 1409.2809

Resonances and convex co-compact congruence subgroups of PSL2(Z)

Frédéric Naud·Dmitry Jakobson

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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 $\Re(s)=\delta/2$.

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BibTeX RIS

Frédéric Naud, Dmitry Jakobson. 2014-09-09. Resonances and convex co-compact congruence subgroups of PSL2(Z). https://arxiv.org/abs/1409.2809

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