Power-free values, large deviations, and integer points on irrational curves

DOI10.5802/jtnb.596zbMath1216.11086arXivmath/0411369OpenAlexW1978419161MaRDI QIDQ933203

Harald Andrés Helfgott

Publication date: 21 July 2008

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411369

Mathematics Subject Classification ID

Rational points (14G05) Counting solutions of Diophantine equations (11D45) Large deviations (60F10) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32)

Related Items (11)

Explicit uniform estimation of rational points I. Estimation of heights ⋮ Explicit uniform estimation of rational points II. Hypersurface coverings ⋮ Square-free values of multivariate polynomials over function fields in linear sparse sets ⋮ Square-free values of polynomials over the rational function field ⋮ Uniform bounds for rational points on hyperelliptic fibrations ⋮ Power-free values of polynomials ⋮ Square-free values of \(f(p)\), \(f\) cubic ⋮ On the \(k\)-free values of the polynomial \(xy^k + C\) ⋮ Square-free values of decomposable forms ⋮ Sums and differences of three \(k\)th powers ⋮ Power‐free values of polynomials

Uses Software

• GAP

Cites Work

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