**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