Analytic Number Theory
Boston College, Spring 2013
The aim of this course is to learn some of the useful techniques of analytic number theory. We will do this by considering their application classical problems such as the distribution of prime numbers and counting the number of integer solution to Diophantine equations.
In particular some of the topics we will cover are
 Arithmetic functions
 Elementary approach to distribution of prime numbers
 Riemann Zeta function, Dirichlet Lfunctions and their application to distribution of prime numbers ,
 The circle method and its applications
 Some Sieve methods
Prerequisites
The course is intended for graduate students; interested undergraduate students are also welcome.
I will assume knowledge of basic courses in complex analysis, linear algebra, and group theory.
Bibliography
 T. Apostol, Introduction to Analytic Number Theory
 M. Ram Murty, Problems in Analytic Number Theory
 H. Iwaniec and E. Kowalski, Analytic Number Theory
Schedule
MWF 12
Room: Stokes 101N
Homework
There will be periodic homework assignments posted here.
Assignments

Assignment 1, due date: Feb. 8, 2013.

Assignment 2, due date: Feb. 22, 2013.

Assignment 3, due date: March. 15, 2013.

Assignment 4, due date: Apr. 5, 2013.

Assignment 5, due date: May. 1, 2013.
Contact me at: dubi.kelmer@bc.edu, Office : Carney 268, tel: (617) 5526588
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