Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents
From MaRDI portal
Publication:5003264
DOI10.2422/2036-2145.201808_013zbMath1484.11158arXiv1808.07184OpenAlexW2964189678MaRDI QIDQ5003264
Sam Chow, David Simmons, Anish Ghosh, Antoine Marnat, Lifan Guan
Publication date: 21 July 2021
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.07184
Related Items (10)
\(S\)-arithmetic inhomogeneous Diophantine approximation on manifolds ⋮ Singular vectors on manifolds and fractals ⋮ Dirichlet is not just bad and singular ⋮ 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 ⋮ TRANSFERENCE THEOREMS FOR DIOPHANTINE APPROXIMATION WITH WEIGHTS ⋮ Some remarks on inhomogeneous Diophantine approximations ⋮ Higher-rank Bohr sets and multiplicative diophantine approximation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-planarity and metric Diophantine approximation for systems of linear forms
- Rational points near manifolds and metric Diophantine approximation
- Modified Schmidt games and Diophantine approximation with weights
- Dirichlet's theorem on Diophantine approximation and homogeneous flows
- Covering minima and lattice-point-free convex bodies
- Diophantine approximation
- Flows on homogeneous spaces and Diophantine approximation on manifolds
- On fractal measures and Diophantine approximation
- Inequalities for convex bodies and polar reciprocal lattices in \(\mathbb{R}^ n\). II: Application of \(K\)-convexity
- Algebraic independence criteria.
- On Diophantine exponents and Khintchine's transference principle
- Best simultaneous Diophantine approximations and multidimensional continued fraction expansions
- Mahler's work on the geometry of numbers
- Extremal subspaces and their submanifolds
- On heights of algebraic subspaces and diophantine approximations
- An introduction to the geometry of numbers.
- A NOTE ON WEIGHTED BADLY APPROXIMABLE LINEAR FORMS
- Badly approximable points in twisted Diophantine approximation and Hausdorff dimension
- An inhomogeneous transference principle and Diophantine approximation
- Diophantine approximation on subspaces of $\mathbb{R}^n$ and dynamics on homogeneous spaces
- An extension of quantitative nondivergence and applications to Diophantine exponents
- ACHIEVEMENTS AND PROBLEMS IN DIOPHANTINE APPROXIMATION THEORY
- Best Simultaneously Diophantine Approximations. I. Growth Rates of Best Approximation Denominators
- Hausdorff Dimension in Inhomogeneous Diophantine Approximation
- Inhomogeneous Dual Diophantine Approximation on Affine Subspaces
- Dimension Bound for Badly Approximable Grids
- On Diophantine transference principles
- On Simultaneous Diophantine Approximations
- The Signatures of the Errors of Simultaneous Diophantine Approximations
- On Compound Convex Bodies (I)
This page was built for publication: Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents
