MATH 7230 Topics in Number Theory (3)

Prereq.: MATH 7211 . May be repeated for credit with consent of department for a maximum of 9 credit hours. Topics in number theory such as algebraic integers, ideal class group, Galois theory of prime ideals, cyclotomic fields, class field theory, Gauss sums, quadratic fields, local fields, elliptic curves, L-functions and Dirichlet series, modular forms, Dirichlet’s theorem and Prime Number theorem, Diophantine equations, Circle method.