MA 5160: Modular Forms

All the updates related to MA 5160 are announced here.

### Class timings:

Monday: 2:30 pm to 04:00 pm

Thursday: 4:00 pm to 05:30 pm

### Pre-requisite courses:

MA 4060, MA 4070.

### Syllabus:

Modular group, congruence subgroups, modular forms, examples, Eisenstein series, lattice functions, Some number theoretic applications,
space of modular functions, expansions at infinity, zeroes and poles using contour integrals, Hecke operators, Theta functions,
Atkin-Lehner theory, Petersson inner product, Eigenforms, L-functions and some properties, relation between Modular forms and Elliptic curves.
### References:

- Diamond, Fred; Shurman, Jerry. A first course in modular forms. Graduate Texts in Mathematics, 228. Springer-Verlag, New York, 2005.
- Miyake, Toshitsune. Modular forms. Translated from the Japanese by Yoshitaka Maeda. Springer-Verlag, Berlin, 1989.
- Serre, J.-P. A course in arithmetic. Translated from the French. Graduate Texts in Mathematics, No. 7. Springer-Verlag, New York-Heidelberg, 1973.