Beschreibung:
Leading experts introduce this classical subject with exciting new applications in theoretical physics.
Preface; 1. Hyperbolic geometry A. Aigon-Dupuy, P. Buser and K.-D. Semmler; 2. Selberg's trace formula: an introduction J. Marklof; 3. Semiclassical approach to spectral correlation functions M. Sieber; 4. Transfer operators, the Selberg Zeta function and the Lewis-Zagier theory of period functions D. H. Mayer; 5. On the calculation of Maass cusp forms D. A. Hejhal; 6. Maass waveforms on (¿0(N), x) (computational aspects) Fredrik Strömberg; 7. Numerical computation of Maass waveforms and an application to cosmology R. Aurich, F. Steiner and H. Then.