Search for dissertations about: "Dirichlet character"
Found 3 swedish dissertations containing the words Dirichlet character.
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1. Computational Aspects of Maass Waveforms
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
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2. Computational Homogenization of Transient Problems - Application to Porous Media
Abstract : This thesis is devoted to the development and analysis of a homogenization-basedcomputational strategy for simulating the transient and nonlinear coupled consolidationproblem in micro-heterogeneous porous media. A variational framework and the pertinentfinite element (FE) strategy, based on a generalized macro-homogeneity condition,are proposed for the spatial homogenization of a class of transient problems, wherebythe classical assumption of first order homogenization is adopted. READ MORE
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3. Computing Vector-valued Modular Forms of Congruence Types and of Some Extension Types
Abstract : This thesis explores applications of vector-valued modular forms of congruence and extension types to scalar-valued modular forms for congruence subgroups with a character, higher order modular forms, and iterated Eichler-Shimura integrals of depth one and two, including considerable generalizations thereof. In \textsc{Paper I} (co-authored with Martin Raum), we present an algorithm for computing bases for spaces of vector-valued modular forms of congruence type and of weight at least $2$ in terms of products of components of vector-valued Eisenstein series. READ MORE