Sökning: "Dirichlet character"

Hittade 3 avhandlingar innehållade orden Dirichlet character.

1. 1. Computational Aspects of Maass Waveforms

   Författare :Fredrik Strömberg; Dennis A. Hejhal; Andreas Strömbergsson; David Farmer; Uppsala universitet; []
   Nyckelord :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;

   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

3. 2. Computational Homogenization of Transient Problems - Application to Porous Media

   Författare :Fang Su; Chalmers tekniska högskola; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; consolidation; Representative Volume Element RVE ; homogenization; FE2;

   Sammanfattning : 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. LÄS MER

4. 3. Computing Vector-valued Modular Forms of Congruence Types and of Some Extension Types

   Författare :Tobias Magnusson; Chalmers tekniska högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; eisenstein series; modular forms; iterated eichler-shimura integrals; vector-valued modular forms;

   Sammanfattning : 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. LÄS MER