Metrical theorems on restricted Diophantine approximations to points on a curve.

DOI10.1006/jnth.2002.2781zbMath1062.11051OpenAlexW1978074074MaRDI QIDQ1867421

Glyn Harman, Huw I. Jones

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1006/jnth.2002.2781

zbMATH Keywords

infinitely many solutionsdiophantine inequalitiesmetric diophantine approximationapproximation by primesapproximation on manifolds

Mathematics Subject Classification ID

Diophantine inequalities (11J25) Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60)

Related Items (4)

A problem in non-linear Diophantine approximation ⋮ Diophantine approximation on lines in \(\mathbb {C}^2\) with Gaussian prime constraints ⋮ RESTRICTED SIMULTANEOUS DIOPHANTINE APPROXIMATION ⋮ Inhomogeneous Diophantine approximation with prime constraints

Cites Work

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• Metric diophantine approximation with two restricted variables. III: Two prime numbers
• Topics in multiplicative number theory
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• METRICAL THEOREMS ON PRIME VALUES OF THE INTEGER PARTS OF REAL SEQUENCES II
• The Differences between Consecutive Primes
• Zero Density Estimates for the Riemann Zeta-Function and Dirichlet L -Functions
• Small fractional parts of additive forms
• Differences Between Consecutive Primes
• Metrical Theorems on Prime Values of the Integer Parts of Real Sequences
• Piatetski‐Shapiro prime k ‐tuplets
• On the difference between consecutive primes

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