Sökning: "Hecke operator"
Hittade 4 avhandlingar innehållade orden Hecke operator.
1. Computational Aspects of Maass Waveforms
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
2. Studies in the analytic and spectral theory of automorphic forms
Sammanfattning : .... LÄS MER
3. Vector-valued Eisenstein series of congruence types and their products
Sammanfattning : 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. LÄS MER
4. Traces of Hecke operators on Drinfeld modular forms via point counts
Sammanfattning : In this licentiate thesis, we study the action of Hecke operators on Drinfeld cusp forms via the theory of crystals over function fields. The thesis contains one preliminary chapter, in which we recall some basic theory of Drinfeld modules and Drinfeld modular forms, as well as the Eichler-Shimura theory developed by Böckle. LÄS MER