Recent advances in Diophantine approximation

DOI10.1007/978-1-4614-1260-1_29zbMath1271.11070arXiv0908.3973OpenAlexW33383276MaRDI QIDQ2914188

Michel Waldschmidt

Publication date: 25 September 2012

Published in: Number Theory, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.3973

zbMATH Keywords

Diophantine approximationsimultaneous approximationrational approximationtranscendence criterionHurwitzDirichletDavenportapproximation by algebraic numbersirrationality measuresapproximation by linear formscriteria for algebraic independenceKhintchineLaurentRoySprindzhukThue-Siegel-Roth-Schmidt

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Homogeneous approximation to one number (11J04) Diophantine approximation, transcendental number theory (11Jxx)

Related Items (10)

Rational points near planar curves and Diophantine approximation ⋮ Khintchine-type theorems for values of subhomogeneous functions at integer points ⋮ Uniform Diophantine approximation with restricted denominators ⋮ The sets of Dirichlet non-improvable numbers versus well-approximable numbers ⋮ Müntz-Szász type theorems for the density of the span of powers of functions ⋮ ON A PROBLEM POSED BY MAHLER ⋮ An inhomogeneous Dirichlet theorem via shrinking targets ⋮ On uniform approximation to real numbers ⋮ Birkhoff averages and the breakdown of invariant tori in volume-preserving maps ⋮ Rational approximation and arithmetic progressions

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