algebraic number theory is both the study of number theory by algebraic methods and the theory of algebraic numbers.

Subcategories

There is 1 subcategory to this category.

C

• Class field theory

Articles in category "Algebraic number theory"

There are 48 articles in this category.

Abelian extension Additive polynomial Adele ring Adelic algebraic group Algebraic integer Algebraic number field Artin conjecture B Birch and Swinnerton-Dyer conjecture Brauer group C Chebotarev's density theorem Class number problem for imaginary quadratic fields D Dedekind domain Dedekind zeta function Dirichlet's unit theorem Discriminant E Euler system

F Field norm Frobenius automorphism Fundamental unit G Galois cohomology Galois module Gaussian integer Gaussian rational Generalized Riemann hypothesis Global field Group cohomology H Hasse norm theorem Hasse principle Hasse-Weil zeta function Herbrand-Ribet theorem Hilbert's ninth problem Hilbert-Speiser theorem I Ideal class group

I cont. Iwasawa theory K Kummer theory L L-function List of algebraic number theory topics Local field N Newton polygon Q Quadratic field Quadratic reciprocity R Ramification Regular prime Regulator Root of unity S Splitting of prime ideals in Galois extensions Stark-Heegner theorem T Totally real number field