401-4110-19L Modular Forms
| Semester | Frühjahrssemester 2019 |
| Dozierende | Ö. Imamoglu |
| Periodizität | einmalige Veranstaltung |
| Lehrsprache | Englisch |
| Kommentar | Number of participants limited to 20. |
| Kurzbeschreibung | The course will cover the basic properties of the classical modular forms |
| Lernziel | The aim is cover the classical theory of modular forms. |
| Inhalt | 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. |
| Literatur | 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 |
| Voraussetzungen / Besonderes | Funktion theory and Algebra I & II are prerequisites. |