Metrical properties for the weighted sums of degrees of multiple partial quotients in continued fractions of Laurent series

DOI10.1016/j.ffa.2023.102317OpenAlexW4387761727MaRDI QIDQ6185637

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Publication date: 8 January 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.2023.102317

zbMATH Keywords

Hausdorff dimension Haar measure continued fraction formal Laurent series

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Hausdorff and packing measures (28A78)

Cites Work

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Hausdorff dimension of certain sets arising in continued fraction expansions
Linear complexity profiles: Hausdorff dimensions for almost perfect profiles and measures for general profiles
Metrical properties for continued fractions of formal Laurent series
Metric properties of the product of consecutive partial quotients in continued fractions
On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series
Cantor sets determined by partial quotients of continued fractions of Laurent series
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ON THE LARGEST DEGREE OF THE PARTIAL QUOTIENTS IN CONTINUED FRACTION EXPANSIONS OVER THE FIELD OF FORMAL LAURENT SERIES
HAUSDORFF MEASURE OF SETS OF DIRICHLET NON‐IMPROVABLE NUMBERS
On the relative growth rate of degrees of partial quotients in continued fractions over the field of formal Laurent series
The Probabilistic Theory of Linear Complexity
On the fractional dimension of sets of continued fractions
On well-approximable matrices over a field of formal series
A zero-one law for improvements to Dirichlet’s Theorem

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