# Number theory/Related Articles

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*See also changes related to Number theory, or pages that link to Number theory or to this page or whose text contains "Number theory".*

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- Abstract algebra [r]: Branch of mathematics that studies structures such as groups, rings, and fields.
^{[e]} - Algebraic number field [r]: A field extension of the rational numbers of finite degree; a principal object of study in algebraic number theory.
^{[e]} - Algebraic number [r]: A complex number that is a root of a polynomial with rational coefficients.
^{[e]} - Algebra [r]: A branch of mathematics concerning the study of structure, relation and quantity.
^{[e]} - Arithmetic function [r]: A function defined on the set of positive integers, usually with integer, real or complex values, studied in number theory.
^{[e]} - Artin L-function [r]: A type of Dirichlet series associated to a linear representation ρ of a Galois group G.
^{[e]} - Asymmetric key cryptography [r]: A category of cryptographic techniques, which greatly simplify key management, which are based on mathematically related key pairs, such that the "public" key can be used to encrypt and be freely available, and only the holder of the "private" key can decrypt the message
^{[e]} - Average order of an arithmetic function [r]: A simple or well-known function, usually continuous and montonic, which on average takes the same or closely approximate values as a given arithmetic function.
^{[e]} - Basel problem [r]: The problem of finding the sum of the infinite series 1 + 1/4 + 1/9 + 1/16 + 1/25 + ···.
^{[e]} - Bernhard Riemann [r]: German mathematician (1826-1866) notable for differential geometry, function theory, and number theory.
^{[e]} - Calculus [r]: The elementary study of real (or complex) functions involving derivatives and integration.
^{[e]} - Carl Friedrich Gauss [r]: German mathematician, who was one of the most influential figures in the history of mathematics and mathematical physics (1777 – 1855).
^{[e]} - Catalog of special functions [r]:
*Add brief definition or description* - Chinese remainder theorem [r]: Theorem that if the integers m1, m2, …, mn are relatively prime in pairs and if b1, b2, …, bn are integers, then there exists an integer that is congruent to bi modulo mi for i=1,2, …, n.
^{[e]} - Combinatorics [r]: Branch of mathematics concerning itself, at the elementary level, with counting things.
^{[e]} - Complex analysis [r]: Field of mathematics, precisely of mathematical analysis, that studies those properties which characterize functions of complex variables.
^{[e]} - Cryptography [r]: A field at the intersection of mathematics and computer science that is concerned with the security of information, typically the confidentiality, integrity and authenticity of some message.
^{[e]} - Dedekind zeta function [r]: Generalization of the Riemann zeta function to algebraic number fields.
^{[e]} - Diophantine equation [r]: Equation in which the unknowns are required to be integers.
^{[e]} - Dirichlet character [r]: A group homomorphism on the multiplicative group in modular arithmetic extended to a multiplicative function on the positive integers.
^{[e]} - Dirichlet series [r]: An infinite series whose terms involve successive positive integers raised to powers of a variable, typically with integer, real or complex coefficients.
^{[e]} - Discrete mathematics [r]: The disciplines within mathematics that study discrete objects: combinatorics, graph theory, number theory, mathematical logic, …
^{[e]} - Egypt [r]: A country in the northeastern corner of Africa, bordering Sudan, Libya, the Mediterranean Sea and the Red Sea
^{[e]} - Ernst Eduard Kummer [r]: (29 January 1810 - 14 May 1893) German mathematician who codified some of the relations between different hypergeometric series, proved Fermat's last theorem for a considerable class of prime exponents, and found the Kummer surface.
^{[e]} - Euclid's lemma [r]:
*Add brief definition or description* - Euclidean algorithm [r]:
*Add brief definition or description* - Euclid [r]:
*Add brief definition or description* - Fibonacci number [r]:
*Add brief definition or description* - Gamma function [r]:
*Add brief definition or description* - Generating function [r]:
*Add brief definition or description* - Goldbach's conjecture [r]:
*Add brief definition or description* - Graph theory [r]:
*Add brief definition or description* - Green's function [r]:
*Add brief definition or description* - Group theory [r]:
*Add brief definition or description* - International Mathematical Olympiad [r]:
*Add brief definition or description* - Jordan's totient function [r]:
*Add brief definition or description* - Lambda function [r]:
*Add brief definition or description* - Mathematics [r]:
*Add brief definition or description* - Modular arithmetic [r]:
*Add brief definition or description* - Möbius function [r]:
*Add brief definition or description* - Natural number [r]:
*Add brief definition or description* - Normal distribution [r]:
*Add brief definition or description* - Normal order of an arithmetic function [r]:
*Add brief definition or description* - Number Theory Foundation [r]:
*Add brief definition or description* - Number of divisors function [r]:
*Add brief definition or description* - Number [r]:
*Add brief definition or description* - Oxford University Press [r]:
*Add brief definition or description* - P-adic metric [r]:
*Add brief definition or description* - Partition (mathematics) [r]:
*Add brief definition or description* - Partition function (number theory) [r]:
*Add brief definition or description* - Prime number [r]:
*Add brief definition or description* - Primitive root [r]:
*Add brief definition or description* - Riemann zeta function [r]:
*Add brief definition or description* - Riemann-Hurwitz formula [r]:
*Add brief definition or description* - Riemann [r]:
*Add brief definition or description* - Science [r]:
*Add brief definition or description* - Selberg sieve [r]:
*Add brief definition or description* - Serge Lang [r]:
*Add brief definition or description* - Sum-of-divisors function [r]:
*Add brief definition or description* - Szpiro's conjecture [r]:
*Add brief definition or description* - Totient function [r]:
*Add brief definition or description* - Turan sieve [r]:
*Add brief definition or description* - Wilhelm Eduard Weber [r]:
*Add brief definition or description* - Zeta function [r]:
*Add brief definition or description*