Category:Number theory
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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 29 subcategories, out of 29 total.
*
A
- Abc conjecture (29 P)
- Arithmetic dynamics (37 P)
C
D
E
G
- Geometry of numbers (12 P)
I
- Integer partitions (15 P)
L
- Langlands program (20 P)
M
N
- Number theory journals (6 P)
P
- P-adic numbers (18 P)
- Perfect numbers (11 P)
Q
S
- Squares in number theory (37 P)
U
Σ
- Number theory stubs (120 P)
Pages in category "Number theory"
The following 200 pages are in this category, out of approximately 217 total. This list may not reflect recent changes.
(previous page) (next page)0–9
A
- Abc conjecture
- Abel's summation formula
- Algebraic number theory
- Amenable number
- Amicable triple
- Arithmetic derivative
- Arithmetic Fuchsian group
- Arithmetic group
- Arithmetic hyperbolic 3-manifold
- Arithmetic topology
- 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
D
E
F
G
H
- Half-period ratio
- Hall–Higman theorem
- Haran's diamond theorem
- Günter Harder
- Harmonic divisor number
- Harmonic number
- Hecke algebra
- Hecke character
- Maria Heep-Altiner
- Hilbert's inequality
- History of the Theory of Numbers
- Hodge–Arakelov theory
- Hodge–Tate module
- Hooley's delta function
- Hundred Fowls Problem
- Hurwitz class number
- Hydra game
- Hyperharmonic number
I
M
N
P
- P-adic analysis
- P-adic distribution
- P-adic gamma function
- P-adic number
- P-adic Teichmüller theory
- Paley graph
- Perfect power
- Persistence of a number
- Poussin proof
- Prime geodesic
- Prime omega function
- Prime power
- Prime signature
- Primefree sequence
- Primon gas
- Probabilistic number theory
- Prosolvable group
- Prouhet–Thue–Morse constant
R
S
- Schnorr group
- Schoof–Elkies–Atkin algorithm
- Schoof's algorithm
- Schwartz–Bruhat function
- Selmer group
- Seventh power
- Short integer solution problem
- Sidon sequence
- Signed-digit representation
- Sixth power
- Skew binary number system
- Skewes's number
- Sociable number
- Solenoid (mathematics)
- Sparse ruler
- Square number
- Square-free integer