Computational Aspects of Maass Waveforms

Computational Aspects of Maass Waveforms

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 (chapte...

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Bibliographic Details
Main Author: Strömberg, Fredrik
Format: Doctoral Thesis
Language:English
Published: Uppsala universitet, Matematiska institutionen 2005
Subjects:
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
Analys
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-4778
http://nbn-resolving.de/urn:isbn:91-506-1794-X
Description
Summary: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. We then outline the algorithm and display some of the results obtained by it.

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