Search for dissertations about: "Hecke operator"

Found 3 swedish dissertations containing the words Hecke operator.

  2. 1. Computational Aspects of Maass Waveforms

    Author : Fredrik Strömberg; Dennis A. Hejhal; Andreas Strömbergsson; David Farmer; Uppsala universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; 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;

    Abstract : 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. READ MORE

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

    Author : Andreas Strömbergsson; Uppsala universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; 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;

    Abstract : .... READ MORE

  5. 3. Vector-valued Eisenstein series of congruence types and their products

    Author : Jiacheng Xia; Chalmers University of Technology; []
    Keywords : Hecke operator; Fourier expansion of modular forms; congruence type; products of Eisenstein series; vector-valued modular forms;

    Abstract : Historically, Kohnen and Zagier connected modular forms with period polynomials, and as a consequence of this association concluded that the products of at most two Eisenstein series span all spaces of classical modular forms of level 1. Later Borisov and Gunnells among other authors extended the result to higher levels. READ MORE