On sets of exact Diophantine approximation over the field of formal series
From MaRDI portal
Publication:640981
DOI10.1016/j.jmaa.2011.08.014zbMath1273.11120OpenAlexW2086145195MaRDI QIDQ640981
Publication date: 21 October 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.08.014
Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Continued fractions and generalizations (11J70) Metric theory of continued fractions (11K50) Diophantine approximation in probabilistic number theory (11K60) Approximation in non-Archimedean valuations (11J61)
Related Items (5)
Sets of exact approximation order by complex rational numbers ⋮ On the relative growth rate of the product of consecutive partial quotients in continued fraction expansions of Laurent series ⋮ Metrical properties for the weighted sums of degrees of multiple partial quotients in continued fractions of Laurent series ⋮ Metrical properties for continued fractions of formal Laurent series ⋮ On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On metric Diophantine approximation in the field of formal Laurent series
- Hausdorff dimensions of bounded-type continued fraction sets of Laurent series
- Linear complexity profiles: Hausdorff dimensions for almost perfect profiles and measures for general profiles
- Sets of exact approximation order by rational numbers
- On continued fraction expansions in positive characteristic: equivalence relations and some metric properties
- Geometric properties of the Markov and Lagrange spectra
- Sets of exact approximation order by rational numbers III
- Measure theoretic laws for lim sup sets
- A metric theorem for restricted Diophantine approximation in positive characteristic
- The distribution of the largest digit in continued fraction expansions
- The Probabilistic Theory of Linear Complexity
- Hausdorff dimension, lower order and Khintchine's theorem in metric Diophantine approximation.
- A note on the theorem of Jarník-Besicovitch
- On well-approximable matrices over a field of formal series
- On continued fractions and diophantine approximation in power series fields
- Sets of exact `logarithmic' order in the theory of Diophantine approximation
This page was built for publication: On sets of exact Diophantine approximation over the field of formal series
