MATH 4070.03: Topics in Number Theory.

The course begins with a detailed discussion of quadratic reciprocity. The main topics from analytic number theory will be arithmetic functions and Dirichlet L-series, resulting in a proof of Dirichlet's theorem on primes in arithmetic progressions. Fundamental properties of algebraic number fields will be discussed, emphasizing quadratic and cyclotomic fields.

FORMAT: Lecture 3 hours
PREREQUISITES: MATH 3070.03
CROSS-LISTINGS: MATH 5070.03

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