Sökning: "Dennis A. Hejhal"

Hittade 3 avhandlingar innehållade orden Dennis A. Hejhal.

  1. 1. Computational Aspects of Maass Waveforms

    Författare :Fredrik Strömberg; Dennis A. Hejhal; Andreas Strömbergsson; David Farmer; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; Maass waveform; Congruence subgroup; Noncongruence subgroup; Multiplier system; Theta multiplier system; Eta multiplier system; real weight; Hecke operator; Involution; Dirichlet character; Spectral Theory; Computation; Matematisk analys; Mathematical analysis; Analys; matematik; Mathematics;

    Sammanfattning : The topic of this thesis is computation of Mass waveforms, and we consider a number of different cases: Congruence subgroups of the modular group and Dirichlet characters (chapter 1); congruence subgroups and general multiplier systems and real weight (chapter 2); and noncongruence subgroups (chapter 3). In each case we first discuss the necessary theoretical background. LÄS MER

  3. 2. Asymptotic Problems on Homogeneous Spaces

    Författare :Anders Södergren; Andreas Strömbergsson; Dennis Hejhal; Jens Marklof; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Analysis on homogeneous spaces; hyperbolic manifolds; spectral theory; equidistribution; the space of lattices; length statistics; Poisson process; moments; Epstein zeta function; value distribution; height function.; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Sammanfattning : This PhD thesis consists of a summary and five papers which all deal with asymptotic problems on certain homogeneous spaces. In Paper I we prove asymptotic equidistribution results for pieces of large closed horospheres in cofinite hyperbolic manifolds of arbitrary dimension. LÄS MER

  4. 3. Computations of Automorphic Functions on Fuchsian Groups

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

    Sammanfattning : 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. LÄS MER