18.785 Analytic Number Theory, Spring 2007
Analytic Number Theory
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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).
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