Computation of Eigenvalues, Spectral Zeta Functions and Zeta-Determinants on Hyperbolic Surfaces
arXiv:1604.02722
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Provides a pedagogical resource for mathematicians and physicists interested in spectral theory on hyperbolic surfaces.
The paper presents lecture notes on computing eigenvalues, spectral zeta functions, and zeta-determinants on hyperbolic surfaces, focusing on the mathematical theory for geometrically non-trivial contexts.
These are lecture notes from a series of three lectures given at the summer school "Geometric and Computational Spectral Theory" in Montreal in June 2015. The aim of the lecture was to explain the mathematical theory behind computations of eigenvalues and spectral determinants in geometrically non-trivial contexts.