Power‐free values of polynomials

DOI10.1112/blms/bdu116zbMath1320.11093arXiv1307.2802OpenAlexW2116372917MaRDI QIDQ5245492

T. Reuss

Publication date: 8 April 2015

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.2802

zbMATH Keywords

irreducible polynomialprimepower-free

Mathematics Subject Classification ID

Primes represented by polynomials; other multiplicative structures of polynomial values (11N32)

Related Items (12)

On the size of the fundamental solution of the Pell equation ⋮ Square-free values of polynomials over the rational function field ⋮ Counting rational points on quartic del Pezzo surfaces with a rational conic ⋮ Square-free values of \(n^2 + n + 1\) ⋮ On the \(k\)-free values of the polynomial \(xy^k + C\) ⋮ Height of rational points on quadratic twists of a given elliptic curve ⋮ Square-free values of decomposable forms ⋮ Square-free values of reducible polynomials ⋮ Power-free values of strongly \(q\)-additive functions ⋮ Orders of units in integral group rings and blocks of defect 1 ⋮ On the distribution of \(r\)-tuples of \(k\)-free numbers ⋮ On the square-free values of the polynomial \(x^2 + y^2 + z^2 + k\)

Cites Work

• Power-free values of polynomials
• Power-free values, large deviations, and integer points on irrational curves
• Sums and differences of three \(k\)th powers
• The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
• Square-free values of n²+1
• Cubic forms in sixteen variables
• Counting Rational Points on Algebraic Varieties
• Power-free values, repulsion between points, differing beliefs and the existence of error
• Power free values of polynomials
• Power Free Values of Polynomials II
• Ricerche aritmetiche sui polinomi
• POWER-FREE VALUES OF POLYNOMIALS
• On the power free values of polynomials
• Arithmetical Properties of Polynomials

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