Mean values of arithmetic functions, the prime number estimates of Chebyshev and of Mertens, the theory of the Riemann zeta function, the proof of the prime number theorem, Dirichlet characters and Dirichlet L-functions, the distribution of prime numbers in arithmetic progressions.
Prerequisite: equivalent of undergraduate courses in real and complex analysis, and some knowledge of basic concepts in algebra (group, ring, field), or permission of the instructor.
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