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On the probability that the values of m polynomials have a given g.c.d

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Publication:1089041
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DOI10.1016/0022-314X(87)90081-3zbMath0618.10052WikidataQ56048619 ScholiaQ56048619MaRDI QIDQ1089041

J. Chidambaraswamy, R. Sita Rama Chandra Rao

Publication date: 1987

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


zbMATH Keywords

densityasymptotic formulanumber of m- tuplespolynomials with integer coefficients


Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Polynomials in number theory (11C08) Special sequences and polynomials (11B83) Arithmetic functions; related numbers; inversion formulas (11A25) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)


Related Items (3)

Densities on Dedekind domains, completions and Haar measure ⋮ Zero-sum-free tuples and hyperplane arrangements ⋮ Remnant inequalities and doubly-twisted conjugacy in free groups



Cites Work

  • On the probability that given polynomials have a specified highest common factor
  • On the probability that \(k\) positive integers are relatively prime
  • On the distribution of the roots of polynomial congruences
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