arXiv Open Access 2014

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

Frédéric Naud Dmitry Jakobson

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Abstrak

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 $\Re(s)=δ/2$.

Topik & Kata Kunci

math.SP math.NT

Penulis (2)

Frédéric Naud

Dmitry Jakobson

Format Sitasi

APA MLA BibTeX

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

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Informasi Jurnal

Tahun Terbit: 2014
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓