Number Theory

Catalog description

Introduction to number theory from the algebraic and/or analytic point of view. Includes some of the following: congruences, finite fields and rings, and quadratic reciprocity; quadratic forms and Diophantine equations; elliptic curves; the Gaussian integers, the Eisenstein integers, and unique factorization in these rings; other quadratic and cyclotomic fields and ideal factorization; and introduction to analytic number theory, primes in arithmetic progressions, and the prime number theorem. Prerequisite(s): For undergraduate students and enrollment requirement For graduate students: MATH 470 with a grade of C (2.0) or better.