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On the power-free values of polynomials in two variables. II

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Publication:1019841
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DOI10.1016/J.JNT.2008.12.006zbMath1233.11101OpenAlexW2064949878MaRDI QIDQ1019841

C. Hooley

Publication date: 28 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.12.006


zbMATH Keywords

asymptotic formulapower-free valuespolynomials in 2 variables


Mathematics Subject Classification ID

Applications of sieve methods (11N36) Distribution of integers with specified multiplicative constraints (11N25) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32)


Related Items (6)

Starting with gaps between k-free numbers ⋮ On the squarefree values of \(a^4+b^3\) ⋮ Square-free values of decomposable forms ⋮ On the representation of \(k\)-free integers by binary forms ⋮ DENSITY OF POWER‐FREE VALUES OF POLYNOMIALS ⋮ On the number of pairs of positive integers \(x,y \leq H\) such that \(x^2+y^2+1\) is squarefree




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