Category:Algebraic number theory
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Here is a list of articles in the Algebraic number theory category of the Computing portal that unifies foundations of mathematics and computations using computers.
Algebraic number theory is both the study of number theory by algebraic methods and the theory of algebraic numbers.
Subcategories
This category has the following 7 subcategories, out of 7 total.
A
C
F
I
Z
Pages in category "Algebraic number theory"
The following 125 pages are in this category, out of 125 total.
- Algebraic number theory (computing)
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- Abstract analytic number theory (computing)
- List of algebraic number theory topics (computing)
A
- Abelian extension (computing)
- Abhyankar's lemma (computing)
- Additive polynomial (computing)
- Adele ring (computing)
- Adelic algebraic group (computing)
- Algebraic number field (computing)
- Arithmetic and geometric Frobenius (computing)
- Arithmetic dynamics (computing)
- Artin's conjecture on primitive roots (computing)
B
- Biquadratic field (computing)
- Brauer group (computing)
- Brumer–Stark conjecture (computing)
C
- Carlitz exponential (computing)
- Class formation (computing)
- Class number formula (computing)
- Class number problem (computing)
- CM-field (computing)
- Compatible system of ℓ-adic representations (computing)
- Conductor of an abelian variety (computing)
- Conductor-discriminant formula (computing)
- Cubic field (computing)
- Cubic reciprocity (computing)
- Cyclotomic character (computing)
- Cyclotomic field (computing)
- Cyclotomic unit (computing)
D
- Dedekind domain (computing)
- Dedekind zeta function (computing)
- Different ideal (computing)
- Discriminant (computing)
- Discriminant of an algebraic number field (computing)
- Drinfeld module (computing)
E
- Eisenstein reciprocity (computing)
- Eisenstein sum (computing)
- Elementary number (computing)
- Elliptic Gauss sum (computing)
- Elliptic unit (computing)
- Equivariant L-function (computing)
- Euler system (computing)
- Explicit reciprocity law (computing)
- Extension and contraction of ideals (computing)
F
- Proofs of Fermat's theorem on sums of two squares (computing)
- Field norm (computing)
- Finite extensions of local fields (computing)
- Fontaine's period rings (computing)
- Formal group law (computing)
- Fractional ideal (computing)
- Frobenius endomorphism (computing)
- Fundamental discriminant (computing)
- Fundamental unit (number theory) (computing)
G
- Galois cohomology (computing)
- Galois extension (computing)
- Galois module (computing)
- Genus character (computing)
- Global field (computing)
- Greenberg's conjectures (computing)
- Group cohomology (computing)
H
- Hasse invariant of an algebra (computing)
- Hasse principle (computing)
- Heegner number (computing)
- Heegner point (computing)
- Height function (computing)
- Herbrand quotient (computing)
- Hermite's problem (computing)
- Higher local field (computing)
- Hilbert's ninth problem (computing)
- Hilbert's twelfth problem (computing)
I
- Ideal (ring theory) (computing)
- Ideal class group (computing)
- Ideal norm (computing)
- Integer (computing)
K
- Kummer theory (computing)
L
- Lazard's universal ring (computing)
- Leopoldt's conjecture (computing)
- Local Euler characteristic formula (computing)
- Local field (computing)
- Local Fields (computing)
- Lubin–Tate formal group law (computing)
M
- Maillet's determinant (computing)
- Minkowski space (number field) (computing)
- Modular forms modulo p (computing)
- Modulus (algebraic number theory) (computing)
- Monogenic field (computing)
N
- Narrow class group (computing)
- Newton polygon (computing)
- Norm group (computing)
P
- P-adic Hodge theory (computing)
- P-adic order (computing)
- Parshin chain (computing)
- Perfectoid space (computing)
- Power residue symbol (computing)
- Profinite integer (computing)
Q
- Quadratic field (computing)
- Quadratic integer (computing)
- Quadratic reciprocity (computing)
- Proofs of quadratic reciprocity (computing)
- Quartic reciprocity (computing)
R
- Ramification (mathematics) (computing)
- Ramification group (computing)
- Rational reciprocity law (computing)
- Reciprocity law (computing)
- Regular prime (computing)
- Rigid analytic space (computing)
- Ring class field (computing)
- Ring of integers (computing)
S
- S-unit (computing)
- Serre's conjecture II (algebra) (computing)
- Skolem–Mahler–Lech theorem (computing)
- Splitting of prime ideals in Galois extensions (computing)
- Stark conjectures (computing)
- Stephens' constant (computing)
- Supersingular prime (algebraic number theory) (computing)
- Supersingular prime (for an elliptic curve) (computing)
T
- Tamagawa number (computing)
- Tate duality (computing)
- Tate's thesis (computing)
- Totally imaginary number field (computing)
- Totally real number field (computing)
- Twisted polynomial ring (computing)
U
- Unique factorization domain (computing)
- Unit (ring theory) (computing)
W
- Waldspurger formula (computing)
Z
- Zahlbericht (computing)