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# The Thermodynamic Formalism Approach to Selberg's Zeta Function for Psl(2, Z)

@inproceedings{Mayer1991TheTF, title={The Thermodynamic Formalism Approach to Selberg's Zeta Function for Psl(2, Z)}, author={Dieter Mayer}, year={1991} }

- Published 1991

Besides the classical approach to Selberg's zeta function for cofinite Fuchsian groups [S] through the trace formula [V] there has been developed recently another one based on the thermodynamic formalism [R2] applied to the dynamical zeta function of Smale and Ruelle [F] which for geodesic flows on surfaces of constant negative curvature (c.n.c.) is closely related to Selberg's function for the corresponding Fuchsian group [Sm, Rl]. This latter approach however has been worked out up to now… CONTINUE READING