Publisher's Synopsis
Intended for a second course at the graduate level, this book provides an advanced treatment of number theory. After an introduction to algebraic number theory, the text concentrates on ideals and quadratic forms, before moving on to Liouville's theorem, Euler's constant, and Minkowski's convex body problem and proof. Later chapters provide a more advanced view of arithmetic functions, including coverage of p-sidic analysis, Gauss sums, the Dirichlet theorem, elliptic curve crptography, Diophantine equations, and sieve methods, including Selberg's sieve and Erathosthenes sieve. A separate chapter addresses modular forms and functions.
