The probability that \(k\) positive integers are relatively \(r\)-prime

DOI10.1016/0022-314X(76)90103-7zbMath0326.10005MaRDI QIDQ1225634

Stanley J. Benkoski

Publication date: 1976

Published in: Journal of Number Theory (Search for Journal in Brave)

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)

Related Items (11)

Probability that the \(k\)-gcd of products of positive integers is \(B\)-friable ⋮ On further application of the zeta distribution to number theory ⋮ Simultaneous visibility in the integer lattice ⋮ Divisibility properties of random samples of integers ⋮ A non-commutative multiple Dirichlet power product and an application ⋮ Estimates of lattice points in the discriminant aspect over abelian extension fields ⋮ THE DENSITY OF -WISE RELATIVELY -PRIME ALGEBRAIC INTEGERS ⋮ The probability that ideals in a number ring are k-wise relatively r-prime ⋮ The n-dimensional Stern–Brocot tree ⋮ Coincidences between homological densities, predicted by arithmetic ⋮ The probability that random algebraic integers are relatively \(r\)-prime

Cites Work

• On the probability that \(k\) positive integers are relatively prime

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