401-4110-19L Modular Forms
| Semester | Spring Semester 2019 |
| Lecturers | Ö. Imamoglu |
| Periodicity | non-recurring course |
| Language of instruction | English |
| Comment | Number of participants limited to 20. |
| Abstract | The course will cover the basic properties of the classical modular forms |
| Learning 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. |