401-4110-19L  Modular Forms

SemesterFrühjahrssemester 2019
DozierendeÖ. Imamoglu
Periodizitäteinmalige Veranstaltung
KommentarNumber of participants limited to 20.

KurzbeschreibungThe course will cover the basic properties of the classical modular forms
LernzielThe aim is cover the classical theory of modular forms.
InhaltBasic definitions and properties of SL(2,Z), its subgroups and modular forms for SL(2,Z). Eisenstein and Poincare series. L-functions of modular forms. Hecke operators. Theta functions. Maass forms.
LiteraturA course in Arithmetic, by J.P. Serre
Modular Forms, by T. Miyake
Introduction to elliptic curves and modular forms, by N. Koblitz
A first course in modular forms by F.Diamond and, J. Shurman
Voraussetzungen / BesonderesFunktion theory and Algebra I & II are prerequisites.