Analytic Number Theory

As taught in: Spring 2007

Image of prime numbers up to 100 generated by the Sieve of Eratosthenes.

The prime numbers (highlighted above) were identified using the Sieve of Eratosthenes. Named after the ancient Greek mathematician and scientist, Eratosthenes, it is an algorithm for identifying all prime numbers up to a given number n (in this case, up to 100). (Image by MIT OpenCourseWare.)

Instructors:

Prof. Kiran Kedlaya

MIT Course Number:

18.785

Level:

Graduate

Course Features

Lecture notes
Assignments (no solutions)

Course Description

This course is an introduction to analytic number theory, including the use of zeta functions and L-functions to prove distribution results concerning prime numbers (e.g., the prime number theorem in arithmetic progressions).