Jordan totient

См. также в других словарях:

• Jordan's totient function — In number theory, Jordan s totient function J k(n) of a positive integer n is the number of k tuples of positive integers all less than or equal to n that form a coprime ( k + 1) tuple together with n . This is a generalisation of Euler s totient …   Wikipedia

• Camille Jordan — Born January 5, 1838(1838 01 05) Lyon …   Wikipedia

• Euler's totient function — For other functions named after Euler, see List of topics named after Leonhard Euler. The first thousand values of φ(n) In number theory, the totient φ(n) of a positive integer n is defined to be the number of positive integers less than or equal …   Wikipedia

• Nontotient — In number theory, a nontotient is a positive integer n which is not in the range of Euler s totient function φ, that is, for which φ(x) = n has no solution. In other words, n is a nontotient if there is no integer x that has exactly n coprimes… …   Wikipedia

• Noncototient — In mathematics, a noncototient is a positive integer n that cannot be expressed as the difference between a positive integer m and the number of coprime integers below it. That is, m − φ(m) = n, where φ stands for Euler s… …   Wikipedia

• List of mathematics articles (J) — NOTOC J J homomorphism J integral J invariant J. H. Wilkinson Prize for Numerical Software Jaccard index Jack function Jacket matrix Jackson integral Jackson network Jackson s dimensional theorem Jackson s inequality Jackson s theorem Jackson s… …   Wikipedia

• Dirichlet series — In mathematics, a Dirichlet series is any series of the form where s and an are complex numbers and n = 1, 2, 3, ... . It is a special case of general Dirichlet series. Dirichlet series play a variety of important roles in analytic number theory …   Wikipedia

• Dedekind psi function — In number theory, the Dedekind psi function is the multiplicative function on the positive integers defined by where the product is taken over all primes p dividing n (by convention, ψ(1) is the empty product and so has value 1). The function was …   Wikipedia