Category:Algebraic number theory

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

The main article for this category is Algebraic number theory.

Subcategories

There are 4 subcategories to this category shown below (more may be shown on subsequent pages).

C

• Class field theory
• Cyclotomic fields

F

• Finite fields

Z

• Zeta and L-functions

Pages in category "Algebraic number theory"

There are 69 pages in this section of this category.

List of algebraic number theory topics A Abelian extension Abstract analytic number theory Additive polynomial Adele ring Adelic algebraic group Algebraic integer Algebraic number field Algebraic number theory Ankeny-Artin-Chowla congruence Arithmetic and geometric Frobenius Artin conjecture Artin's conjecture on primitive roots B Biquadratic field Brauer group Brauer-Siegel theorem C CM-field Chebotarev's density theorem Class formation Class number problem for imaginary quadratic fields Cubic reciprocity D Dedekind domain Dedekind zeta function

D cont. Different ideal Dirichlet's unit theorem Discriminant Discriminant of an algebraic number field Drinfel'd module E Elliptic unit Euler system Extension and contraction of ideals F Fermat's theorem on sums of two squares Field norm Formal group Fractional ideal Frobenius endomorphism Fundamental unit (number theory) G Galois cohomology Galois module Global field Group cohomology H Hasse norm theorem Hasse principle Heegner number Heegner point Herbrand quotient Hilbert's Theorem 90

H cont. Hilbert's ninth problem I Ideal class group K Kummer theory L Landau prime ideal theorem Local field M Minkowski's bound N Narrow class group Newton polygon P Principal ideal theorem Proofs of Fermat's theorem on sums of two squares Proofs of quadratic reciprocity Q Quadratic field Quadratic reciprocity Quasi-finite field R Ramification Regular prime Regulator Rigid analytic space S Splitting of prime ideals in Galois extensions Stark's conjecture Stark–Heegner theorem T Totally real number field

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Categories: Number theory | Abstract algebra

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• This page was last modified 15:54, 1 January 2007 by Wikipedia user Kilva. Based on work by Wikipedia user(s) Escarbot, Cyb3r, FlaBot, Vargenau, Carson Lam, Dmharvey and Fuelbottle and Anonymous user(s) of Wikipedia.
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