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