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 (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.

Ämnesord

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Nyckelord

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

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