Sökning: "automorphic forms"

Visar resultat 1 - 5 av 7 avhandlingar innehållade orden automorphic forms.

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

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

    Sammanfattning : 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. LÄS MER

  3. 2. Automorphic string amplitudes

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

    Sammanfattning : 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. LÄS MER

  4. 3. Studies in the analytic and spectral theory of automorphic forms

    Författare :Andreas Strömbergsson; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Selberg trace formula; Fuchsian group; Maass waveforms; modular correspondence; Hecke operator; spectral correspondence; newform; L-function; closed horocycle; equidistribution; MATEMATIK; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Sammanfattning : .... LÄS MER

  5. 4. 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

  7. 5. Summation formulae and zeta functions

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

    Sammanfattning : 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. LÄS MER