**Math
6110 (Analytic number theory)
Spring 2018, UNT **

**Lecture: **GAB 461, MW 8:30-9:50am

**Instructor: **Professor
Olav Richter

**Office:**GAB 412**Office hours:**MW 10:00-12:00pm, 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. Topics include: Arithmetic functions, Dirichlet
series, the Gamma function, the Riemann zeta function,
characters, L-functions, Dirichlet's Prime Number Theorem,
modular
forms and their connection to Dirichlet series with
functional equation.

**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