Analytic Number Theory

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.)


MIT Course Number


As Taught In

Spring 2007



Cite This Course

Course Features

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).

Kiran Kedlaya. 18.785 Analytic Number Theory, Spring 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare), (Accessed). License: Creative Commons BY-NC-SA

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