Period functions for Hecke triangle groups, and the Selberg zeta function as a Fredholm determinant

Autor:	Möller, M., Pohl, A. D.
Rok vydání:	2011
Předmět:	Mathematics - Dynamical Systems Mathematics - Number Theory Primary: 37C30 11F37 Secondary: 11M36 37B10 37D35 37D40
Druh dokumentu:	Working Paper
Popis:	We characterize Maass cusp forms for any cofinite Hecke triangle group as 1-eigenfunctions of appropriate regularity of a transfer operator family. This transfer operator family is associated to a certain symbolic dynamics for the geodesic flow on the orbifold arising as the orbit space of the action of the Hecke triangle group on the hyperbolic plane. Moreover we show that the Selberg zeta function is the Fredholm determinant of the transfer operator family associated to an acceleration of this symbolic dynamics. Comment: 35 pages; revised version, to be published in ETDS
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1103.5235 Zobrazit plný text záznamu View this record from Arxiv