Hausdorff dimension for sets of continued fractions of formal Laurent series
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Publication:6191066
DOI10.1016/j.ffa.2024.102377OpenAlexW4391460489MaRDI QIDQ6191066
Publication date: 6 March 2024
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ffa.2024.102377
Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Continued fractions and generalizations (11J70) Hausdorff and packing measures (28A78) Metric theory of continued fractions (11K50) Approximation in non-Archimedean valuations (11J61)
Cites Work
- On metric Diophantine approximation in the field of formal Laurent series
- Hausdorff dimension of certain sets arising in continued fraction expansions
- On continued fraction expansions in positive characteristic: equivalence relations and some metric properties
- Metrical properties for continued fractions of formal Laurent series
- Hausdorff measure of sets of Dirichlet non-improvable affine forms
- Metric properties of the product of consecutive partial quotients in continued fractions
- Cantor sets determined by partial quotients of continued fractions of Laurent series
- HAUSDORFF MEASURE OF SETS OF DIRICHLET NON‐IMPROVABLE NUMBERS
- Keystream Sequences with a Good Linear Complexity Profile for Every Starting Point
- A zero-one law for improvements to Dirichlet’s Theorem
- Hausdorff dimension of an exceptional set in the theory of continued fractions
- The sets of Dirichlet non-improvable numbers versus well-approximable numbers
- Uniformly non–improvable Dirichlet set via continued fractions
- The generalised Hausdorff measure of sets of Dirichlet non-improvable numbers
- A measure estimate in geometry of numbers and improvements to Dirichlet's theorem
- Hausdorff dimension of Dirichlet non-improvable set versus well-approximable set
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