Search for dissertations about: "Automorphic"

Showing result 1 - 5 of 11 swedish dissertations containing the word Automorphic.

2. 1. Automorphic string amplitudes

   Author : Henrik Gustafsson; Chalmers tekniska högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Eisenstein series; string theory; automorphic forms; U-duality; non-perturbative effects; Whittaker vectors; instantons;

   Abstract : This thesis explores the non-perturbative properties of higher derivative interactions appearing in the low-energy expansion of four-graviton scattering amplitudes in toroidal compactifications of type IIB string theory. We summarise the arguments for finding such higher derivative corrections in terms of automorphic forms using U-duality, supersymmetry and string perturbation theory. READ MORE

4. 2. Automorphic forms and string theory: Small automorphic representations and non-perturbative effects

   Author : Henrik Gustafsson; Chalmers tekniska högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; instantons; automorphic forms; automorphic representations; Eisenstein series; U-duality; non-perturbative effects; string theory;

   Abstract : This compilation thesis stems from a project with the purpose of determining non-perturbative contributions to scattering amplitudes in string theory carrying important information about instantons, black hole quantum states and M-theory. The scattering amplitudes are functions on the moduli space invariant under the discrete U-duality group and this invariance is one of the defining properties of an automorphic form. READ MORE

5. 3. Some applications of representation theory in homogeneous dynamics and automorphic functions

   Author : Samuel Charles Edwards; Andreas Strömbergsson; Henrik Schlichtkrull; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; automorphic functions; effective equidistribution; Eisenstein series; homogeneous dynamics; horospheres; lattices; Lie groups; representation theory; Mathematics; Matematik;

   Abstract : This thesis consists of an introduction and five papers in the general area of dynamics and functions on homogeneous spaces. A common feature is that representation theory plays a key role in all articles. READ MORE

6. 4. Automorphic distributions and Selberg zeta functions

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

   Abstract : .... READ MORE

7. 5. Computations of Automorphic Functions on Fuchsian Groups

   Author : Helen Avelin; Andreas Strömbergsson; Dennis Hejhal; Warwick Tucker; Michael Rubinstein; Uppsala universitet; []
   Keywords : Mathematics; 11F72; 11F03; 11F06; 11Y35; 11-04; 11Y16; 33F06; 34B27; 33F05; MATEMATIK;

   Abstract : This thesis consists of four papers which all deal with computations of automorphic functions on cofinite Fuchsian groups. In the first paper we develop an algorithm for numerical computation of the Eisenstein series. We focus in particular on the computation of the poles of the Eisenstein series. READ MORE