**Math
6110 (Analytic number theory)
Spring 2011, UNT **

**Lecture: **GAB 473, MW 12:00-1:20pm

**Instructor: **Professor
Olav Richter

**Office:**GAB 418 B**Office hours:**MW 3:30-5:00pm, F 9:00-10:00, and by appointment**Phone:**565-4352**email:**richter@unt.edu

**Course Description: **Math 6110 is intended for all graduate students in
mathematics. This course will be an
introduction to analytic number theory and some background in complex analysis
is required. We will discuss arithmetic functions, Dirichlet
series, the Gamma function, the Riemann zeta function, characters, and
L-functions. A highlight of this course will be the proof of Dirichlet's Prime Number Theorem,
which is a generalization of both the Prime Number Theorem and Dirichlet's theorem on primes in arithmetic progressions.

**Textbook:** You do *not* have to
buy a textbook for this class, since 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 book by Apostol

**Title: Introduction to Analytic Number Theory****Author:**Tom Apostol**Publisher:**Springer

There
is also an excellent book by Zagier that contains a
lot of the material that we will cover. However, it has the slight (!) disadvantage that it is written in
German:

**Title: Zetafunktion und quadratische Körper****Author:**Don Zagier**Publisher:**Springer