MATH 15
Exploring the Primes: A Crash Course in Analytic Number Theory Winter 2020

This is not the current course catalog

This will be a crash course in analytic number theory. Given our time constraints, our goal will be to obtain a big-picture view of the field by understanding the outline of proofs of the most important results in the field. Among other topics we’ll discuss the Riemann zeta function, the Prime Number Theorem, the Riemann Hypothesis, Dirichlet’s theorem on primes in arithmetic progressions, and Roth’s theorem on arithmetic progressions. There will be no written problem sets, but students will be expected to present solutions to problems in class. Each student will also be expected to write up a class summary (in LaTeX) for one of our meetings.