Category:Algebraic number theory

From Wikipedia, the free encyclopedia

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

This category has the following 4 subcategories, out of 4 total.

Pages in category "Algebraic number theory"

The following 79 pages are in this category, out of 79 total. Updates to this list can occasionally be delayed for a few days.

List of algebraic number theory topics

A

Abelian extension
Abhyankar's lemma
Abstract analytic number theory
Additive polynomial
Adele ring
Adelic algebraic group
Algebraic integer
Algebraic number
Algebraic number field
Algebraic number theory
Ankeny-Artin-Chowla congruence
Arithmetic and geometric Frobenius
Arithmetic dynamics
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
Cubic reciprocity
Cyclotomic field

D

Dedekind domain

D cont.

Dedekind zeta function
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 extension
Galois module
Global field
Group cohomology

H

Hasse norm theorem
Hasse principle
Heegner number
Heegner point
Herbrand quotient
Hilbert's Theorem 90
Hilbert's ninth problem

H cont.

Hilbert's twelfth problem

I

Ideal class group
Integer

K

Kummer theory

L

Landau prime ideal theorem
Local field

M

Minkowski's bound

N

Narrow class group
Newton polygon
Norm of an ideal

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
Ring of integers

S

Splitting of prime ideals in Galois extensions
Stark's conjecture
Stark–Heegner theorem

T

Totally real number field

U

Unit (ring theory)

Categories: Number theory | Abstract algebra

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Category:Algebraic number theory

From Wikipedia, the free encyclopedia

Subcategories

C

F

Z

Pages in category "Algebraic number theory"

A

B

C

D

D cont.

E

F

G

H

H cont.

I

K

L

M

N

P

Q

R

S

T

U

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