Elementary Methods in Number Theory

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. Language: English