Sökning: "automorphic form"

Hittade 3 avhandlingar innehållade orden automorphic form.

  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. 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

  4. 3. Aspects of Wrapped Branes in String and M-Theory

    Författare :Ling Bao; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Instantons; Algebraic symmetries; String theory;

    Sammanfattning : This thesis consists of an introductory text together with five appended research papers. The Ariadne's thread through the whole thesis is various effects coming from high-dimensional p-branes in various subsectors of string and M-theory. LÄS MER