Search for dissertations about: "selberg zeta functions"

Found 3 swedish dissertations containing the words selberg zeta functions.

2. 1. Summation formulae and zeta functions

   Author : Johan Andersson; Mikael Passare; Aleksandar Ivic; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; zeta function; summation formula; automorphic form; modular group; Kloosterman sum; Selberg theory; power sum method; MATHEMATICS; MATEMATIK;

   Abstract : This thesis in analytic number theory consists of 3 parts and 13 individual papers.In the first part we prove some results in Turán power sum theory. We solve a problem of Paul Erdös and disprove conjectures of Paul Turán and K. Ramachandra that would have implied important results on the Riemann zeta function. READ MORE

4. 2. Automorphic distributions and Selberg zeta functions

   Author : Pierre Bäcklund; Uppsala universitet; []
   Keywords : ;

   Abstract : .... READ MORE

5. 3. Studies on boundary values of eigenfunctions on spaces of constant negative curvature

   Author : Pierre Bäcklund; Andreas Juhl; Andreas Strömbergsson; Genkai Zhang; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Hyperbolic space; anti de Sitter space; spectral geometry; scattering theory; analysis on real and complex Lie groups; intertwining operators; Verma modules; analysis on homogeneous spaces; conformal differential geometry; Selberg zeta functions; Algebra; geometry and mathematical analysis; Algebra; geometri och analys;

   Abstract : This thesis consists of two papers on the spectral geometry of locally symmetric spaces of Riemannian and Lorentzian signature. Both works are concerned with the idea of relating analysis on such spaces to structures on their boundaries.The first paper is motivated by a conjecture of Patterson on the Selberg zeta function of Kleinian groups. READ MORE