Theory of Numbers.

Catalog description

Divisibility properties of the integers, primes, modular arithmetic, Chinese Remainder Theorem, quadratic reciprocity and quadratic forms, arithmetic functions, the Möbius inversion formula, and Diophantine equations. Possible additional topics include elliptic curves, algebraic numbers, primes in arithmetic progressions, the geometry of numbers, p-adic numbers, primality tests, modular forms, and encryption.