The course will cover the basic properties of the classical modular forms
Objective
The aim is cover the classical theory of modular forms.
Content
Basic 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.
Literature
A 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
Prerequisites / Notice
Funktion theory and Algebra I & II are prerequisites.
Performance assessment
Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course