Department of Mathematics

Modular Forms

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Lecturer Prof. Dr. Arpád Tóth
Lecture Do, 15-17, HG G5
Coordinator Jonas Jermann
Exercises Mo, 15-16, HG E41

First lecture: Thursday, February 21, 2013.


The main goal of the course is to give an introduction to the theory of automorphic forms from the analytic point of view. There will be an emphasis on theta-functions and their applications in analytic number theory, especially to representations by quadratic forms.


Complex Analysis (Funktionentheorie), Algebra I, Measure and Integration.

First exercise session: Monday, February 25, 2013

Requirements for the certificate (Testat): Reasonable attempt to solve 50% of all tasks.


Exercises will be available here (approximately one exercise every second week).
Please hand in your written solutions in class on the due date given below.
In general, you will have your marked exercises returned at the beginning of the subsequent exercise class (on monday).
If there are any questions and/or corrections please send an email to Jonas Jermann.

Exercises Due date Solutions
Sheet 1 7.3.2013 Solutions 1
Sheet 2 21.3.2013 Solutions 2
Sheet 3 11.4.2013 Solutions 3 (incomplete!)
Sheet 4 25.4.2013 Solutions 4
Sheet 5 16.5.2013 Solutions 5
Sheet 6 30.5.2013 Solutions 6

Lecture Notes

The congruent numer elliptic curve y^2=x^3-x (not part of the exam).


It is a 20 minutes oral exam at the end of the semester (Semesterendprüfung), i.e. not during the exam session. The exercices are also part of the exam.


Additional Literature:


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