Concept information
Preferred term
number theory
Definition(s)
-
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example, rational numbers), or defined as generalizations of the integers (for example, algebraic integers).
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Number_theory)
Broader concept(s)
Narrower concept(s)
- algebraic number theory
- analytic number theory
- arithmetic function
- automorphic form
- Brocard's conjecture
- Büchi's problem
- Diophantine geometry
- Dirichlet's theorem on arithmetic progressions
- Euclid-Euler theorem
- Euclid's theorem
- geometry of numbers
- Glaisher-Kinkelin constant
- Legendre's conjecture
- Meissel-Mertens constant
- modularity theorem
- Niven's constant
- p-adic analysis
- p-adic distribution
- p-adic gamma function
- p-adic number
- Peano axioms
- Prouhet-Thue-Morse constant
- quintuple product identity
- Schur's theorem
- sieve theory
Synonym(s)
- arithmetic
- higher arithmetic
In other languages
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French
-
arithmétique
URI
http://data.loterre.fr/ark:/67375/PSR-P93ST75Z-8
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