COURSE DESCRIPTION
Elementary number theory with applications. Topics in number theory such as finite fields, continued fractions, Diophantine equations, character sums, zeta and theta functions, prime number theorem, algebraic integers, quadratic and cyclotomic fields, prime ideal theory, class number, quadratic forms, units, Diophantine approximation, p-adic numbers, elliptic curves.
Prerequisites: Math 104B
Text Book: Fundamentals of Number Theory, by W. J. Leveque
Additional reading:
Practice questions for the first midtermModel answers to the first midterm
Practice questions for the second midterm
Model answers to the second midterm
Model answers to the final
RECENT UPDATE
[02.22.2018] Final exam will be in the same room as lectures APM 5402
[02.22.2018] Homework 6 typo on question 6.8.2: the first limit should involve an exponent of -2 and not -1
[03.15.2018] Final exam will cover the material in Lectures 1-15 excluding 10 and 11
[03.18.2018] Extra office hours Tuesday 2-4
[03.18.2018] TA extra office hours Monday 3-5