18.785 Analytic Number Theory, Spring 2007
Name
18-785-spring-2007/contents/index.htm
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Checksum (MD5)
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Author(s)
Kedlaya, Kiran
Alternative Title
Analytic Number Theory
Date Issued
June 2007
Abstract
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).
Subjects
analytic number theory
Riemann zeta function
L-functions
prime number theorem
Dirichlet's theorem
Riemann Hypothesis
Sieving methods
Linnik
Linnik's large sieve
Selberg
Selberg's sieve
distribution of prime numbers
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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