Sökning: "congruence type"

Visar resultat 1 - 5 av 12 avhandlingar innehållade orden congruence type.

1. 1. Vector-valued Eisenstein series of congruence types and their products

   Författare :Jiacheng Xia; Chalmers tekniska högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Hecke operator; Fourier expansion of modular forms; congruence type; products of Eisenstein series; vector-valued modular forms;

   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

3. 2. 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

4. 3. Samhällets tvåsidighet : Aktör-struktur i tre forskningsansatsers program och tillämpningar

   Författare :Mikael Rundqvist; Sweden University of Gothenburg Department of political science; []
   Nyckelord :SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; Actor factors; actor theoretical approach; actor-structural theoretical approach. application; interna! logical congruence; relational concept of structure; research programme; structural theoretical approach; structure factors; two-sided leve! realism;

   Sammanfattning : Samhällsvetenskapliga portalfigurer som Durkheim, Marx och Weber har medverkat i diskussionen om aktör och struktur. Diskussionen om intentioner; agerande och samhällsstrukturer pågår fortfarande. Om de samhällsvetenskapliga fenomenen utgår från individen – aktören – och/eller dess omgivning - strukturen - är en evig fråga. LÄS MER

5. 4. Gravity Illustrated. Spacetime Edition

   Författare :Rickard Jonsson; Chalmers tekniska högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; embeddings; pedagogical techniques; curved spacetime; optical geometry; gyroscope precession; inertial forces;

   Sammanfattning : This thesis deals with essentially four different topics within general relativity: pedagogical techniques for illustrating curved spacetime, inertial forces, gyroscope precession and optical geometry. Concerning the pedagogical techniques, I investigate two distinctly different methods, the dual and the absolute method. LÄS MER

7. 5. On Modelling and Analysing Concurrent Systems

   Författare :Karol Ostrovsky; Chalmers tekniska högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : In order to verify program correctness one needs an appropriate programming language, a specification of the program correctness, and some methods to prove the program correct. We examine two of these aspects: a language for writing a particular kind of concurrent programs, that is modelling concurrent systems, and methods to prove certain correctness properties of concurrent programs, that is analysing concurrent systems. LÄS MER