On the probability that given polynomials have a specified highest common factor

DOI10.1016/0022-314X(80)90040-2zbMath0443.10001OpenAlexW2055194263MaRDI QIDQ1144063

R. N. Buttsworth

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0022-314x(80)90040-2

zbMATH Keywords

asymptotic densitypolynomial functionsdensity of m-tupleshighest common factor

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (2)

On the probability that the values of m polynomials have a given g.c.d ⋮ Densities on Dedekind domains, completions and Haar measure

Cites Work

• On the probability that \(k\) positive integers are relatively prime
• On the distribution of the roots of polynomial congruences
• Unnamed Item

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