Math 6110 (Topics in automorphic forms)
Fall 2006, UNT

Lecture: GAB 473, TR 9:30-10:50am

Instructor: Professor Olav Richter

• Office: GAB 418 B
• Office hours: TR 11:00-12:00pm, W 8:00-10:00am, and by appointment
• Phone: 565-4352
• email: richter@unt.edu

Course Description: Math 6110 is intended for all graduate students in mathematics. We will cover selected topics in automorphic forms. A solid background in complex analysis is required and some basic knowledge in group theory will be helpful. Topics include: The modular group and its subgroups, modular forms (including the discussion of various examples), Hecke-Petersson theory, and theta series.

Textbook: We will not follow a particular textbook very closely. A large portion of the material that we will cover can be found in the following very good book by Apostol.

• Title: Modular Functions and Dirichlet Series in Number Theory
• Author: Tom M. Apostol
• Publisher: Springer

There is also an excellent book by Koecher and Krieg that contains most of the material that we will cover. It has the slight (!) disadvantage that it is written in German:

• Title: Elliptische Funktionen und Modulfunktionen
• Author: Max Koecher and Aloys Krieg
• Publisher: Springer