401-4110-19L  Modular Forms

SemesterSpring Semester 2019
LecturersÖ. Imamoglu
Periodicitynon-recurring course
Language of instructionEnglish
CommentNumber of participants limited to 20.

AbstractThe course will cover the basic properties of the classical modular forms
ObjectiveThe aim is cover the classical theory of modular forms.
ContentBasic 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.
LiteratureA 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 / NoticeFunktion theory and Algebra I & II are prerequisites.