Elementary Methods in Number Theory (Hardcover)

A First Course in Number Theory.- Divisibility and Primes.- Congruences.- Primitive Roots and Quadratic Reciprocity.- Fourier Analysis on Finite Abelian Groups.- The abc Conjecture.- Divisors and Primes in Multiplicative Number Theory.- Arithmetic Functions.- Divisor Functions.- Prime Numbers.- The Prime Number Theorem.- Primes in Arithmetic Progressions.- Three Problems in Additive Number Theory.- Waring's Problem.- Sums of Sequences of Polynomials.- Liouville's Identity.- Sums of an Even Number of Squares.- Partition Asymptotics.- An Inverse Theorem for Partitions.