Ebook: Advanced topics in computational number theory

Fundamental Results and Algorithms in Dedekind domains.- Basic Relative Number Field Algorithms.- The Fundamental Theorems of Global Class Field Theory.- Computational Class Field Theory.- Computing Defining Equations.- Cubic Number Fields.- Ramification, Conductors and Discriminants.- Relative Class Groups, Units and Regulators.- Inverting Prime Ideals.- Algorithms for p-adic fields