Selberg Zeta Functions and Transfer Operators An Experimental Approach to Singular Perturbations /

• Main Author: Fraczek, Markus Szymon (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Lecture Notes in Mathematics, 2139
• Subjects: Mathematics.; Approximation theory.; Dynamics.; Ergodic theory.; Functions of complex variables.; Special functions.; Computer mathematics.; Number theory.; Number Theory.; Computational Mathematics and Numerical Analysis.; Approximations and Expansions.; Functions of a Complex Variable.; Special Functions.; Dynamical Systems and Ergodic Theory.

This book presents a method for evaluating Selberg zeta functions via transfer operators for the full modular group and its congruence subgroups with characters. Studying zeros of Selberg zeta functions for character deformations allows us to access the discrete spectra and resonances of hyperbolic...