Algebraic Number Theory

1 Number Fields ▶
2 Algebraic integers ▼
3 Factorization in rings of integers ▶
4 The ideal class group ▶
- 4.1 Computing class groups
5 Solving Diophantine equations
6 Geometry of numbers
7 Bibliography
Dependency graph

2 Algebraic integers

We will now move to studying some very important subrings of number fields, known as the rings of algebraic integers.

2.1 Rings of integers
2.2 Discriminants
- 2.2.15 Formulae for calculating discriminants
- 2.2.23 Discriminants of trinomials
2.3 Cyclotomic fields