TRANSFERENCE THEOREMS FOR DIOPHANTINE APPROXIMATION WITH WEIGHTS

DOI10.1112/mtk.12022zbMath1452.11080arXiv1905.01512OpenAlexW3013455981MaRDI QIDQ5112833

Oleg N. German

Publication date: 9 June 2020

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01512

zbMATH Keywords

simultaneous approximationtransference inequalities

Mathematics Subject Classification ID

Diophantine inequalities (11J25) Simultaneous homogeneous approximation, linear forms (11J13) Inhomogeneous linear forms (11J20) Mean value and transfer theorems (11H60)

Related Items (7)

Singular vectors on manifolds and fractals ⋮ Multiparametric geometry of numbers and its application to splitting transference theorems ⋮ Hausdorff measure of sets of Dirichlet non-improvable affine forms ⋮ Geometry of Diophantine exponents ⋮ On Hausdorff dimension in inhomogeneous Diophantine approximation over global function fields ⋮ Some remarks on inhomogeneous Diophantine approximations ⋮ A graph arising in the geometry of numbers

Cites Work

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• On Diophantine exponents and Khintchine's transference principle
• Intermediate Diophantine exponents and parametric geometry of numbers
• An inhomogeneous transference principle and Diophantine approximation
• Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents
• A strengthening of Mahler's transference theorem
• On Simultaneous Diophantine Approximations

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