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- Arithmetic function [r]: A function defined on the set of positive integers, usually with integer, real or complex values, studied in number theory. [e]
- 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]
- Dirichlet character [r]: A group homomorphism on the multiplicative group in modular arithmetic extended to a multiplicative function on the positive integers. [e]
- Jordan's totient function [r]: A generalisation of Euler's totient function. [e]
- P-adic metric [r]: A metric on the rationals in which numbers are close to zero if they are divisible by a large power of a given prime p. [e]
- Primitive root [r]: A generator of the multiplicative group in modular arithmetic when that group is cyclic. [e]
- Rational number [r]: A number that can be expressed as a ratio of two integers. [e]
- Root of unity [r]: An algebraic quantity some power of which is equal to one. [e]
- Sylow subgroup [r]: A subgroup of a finite group whose order is the largest possible power of one of the primes factors of the group order. [e]
- Totient function [r]: The number of integers less than or equal to and coprime to a given integer. [e]
