Category:Number theory
Here is a list of articles in the Number theory category of the Computing portal that unifies foundations of mathematics and computations using computers. Traditionally, number theory is the branch of mathematics concerned with the properties of integers and many of its open problems are easily understood even by non-mathematicians. More generally, the field has come to be concerned with a wider class of problems that arise naturally from the study of integers. Number theory may be subdivided into several fields according to the methods used and the questions investigated. See for example the list of number theory topics.
This category corresponds roughly to MSC 11-XX Number theory; see 11-XX at MathSciNet and 11-XX at zbMATH.
Subcategories
This category has the following 19 subcategories, out of 19 total.
*
- Number theorists (446 P)
A
C
- Continued fractions (28 P)
D
E
G
- Geometry of numbers (11 P)
I
L
M
P
Q
S
- Squares in number theory (34 P)
Pages in category "Number theory"
The following 200 pages are in this category, out of 242 total.
(previous page) (next page)A
- Abc conjecture
- ABC conjecture
- Abel's summation formula
- Abelian variety of CM-type
- Algebraic number theory
- Aliquot ratio
- Amenable number
- Amicable triple
- Arithmetic derivative
- Arithmetic Fuchsian group
- Arithmetic group
- Arithmetic hyperbolic 3-manifold
- Arithmetic zeta function
- Artin conductor
- Artin–Hasse exponential
- Aurifeuillean factorization
- Automorphic number
- Auxiliary function
- AWM–Microsoft Research Prize in Algebra and Number Theory
B
C
- Cabtaxi number
- Champernowne constant
- Change-making problem
- Character group
- Cobham's theorem
- Composition (combinatorics)
- Computational number theory
- Contou-Carrère symbol
- Coprime integers
- Covering set
- Crank conjecture
- Cube (algebra)
- Cunningham number
- Cunningham Project
- Cyclic number
- Cyclic number (group theory)
- Cyclotomic polynomial
D
- Dedekind sum
- Deformation ring
- Density theorems
- Digit sum
- Digital root
- Dirichlet hyperbola method
- Dirichlet series inversion
- Disquisitiones Arithmeticae
- Distribution (number theory)
- Divisor function
- Divisor problems
- Divisor sum identities
- Dubner's conjecture
- Ducci sequence
- Durfee square
- Dyadic rational
E
- Egyptian fraction
- Eichler order
- Eighth power
- Eisenstein–Kronecker number
- Elementary number theory
- Elkies trinomial curves
- Elliptic divisibility sequence
- Eratosthenes, sieve of
- Erdős arcsine law
- Erdős–Tenenbaum–Ford constant
- Euler function
- Euler series
- Euler's totient function
- Eventually (mathematics)
- Extended natural numbers
F
G
- Gan–Gross–Prasad conjecture
- Gauss reciprocity law
- Gauss's diary
- GCD matrix
- Generalized taxicab number
- Glaisher–Kinkelin constant
- Glossary of number theory
- Goldbach problem
- Goldbach-Waring problem
- Golomb ruler
- Granville number
- Greatest common divisor
- Greedy algorithm for Egyptian fractions
- Gregory coefficients
- Grothendieck–Teichmüller group
H
- Half-period ratio
- Hall–Higman theorem
- Haran's diamond theorem
- Biography:Günter Harder
- Hardy-Littlewood problem
- Harmonic divisor number
- Harmonic number
- Hecke algebra
- Hecke algebra acting on modular forms
- Hecke character
- Biography:Maria Heep-Altiner
- Height of a polynomial
- Hilbert's inequality
- Hilbert-Euler problem
- History of the Theory of Numbers
- Hodge–Arakelov theory
- Hodge–Tate module
- Hundred Fowls Problem
- Hurwitz class number
- Hydra game
- Hyperharmonic number
I
L
M
N
P
- P-adic analysis
- P-adic distribution
- P-adic gamma function
- P-adic number
- P-adic Teichmüller theory
- Paley graph
- Partition (number theory)
- Perfect power
- Persistence of a number
- Poussin proof
- Prime geodesic
- Prime omega function
- Prime power
- Prime signature
- Primefree sequence
- Physics:Primon gas
- Probabilistic number theory
- Probabilistic primality test
- Prosolvable group
- Proth number
- Prouhet–Thue–Morse constant
- Pseudo-prime
