On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series

DOI10.2140/pjm.2019.302.453zbMath1436.11098arXiv1902.09034OpenAlexW2915489697WikidataQ126655044 ScholiaQ126655044MaRDI QIDQ2305389

Yann Bugeaud, Zhen-Liang Zhang

Publication date: 10 March 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.09034

zbMATH Keywords

Diophantine approximationHausdorff dimensionpower series fieldexponent of homogeneous approximationexponent of inhomogeneous approximation

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Homogeneous approximation to one number (11J04)

Related Items (8)

Finding both, the continued fraction and the Laurent series expansion of golden ratio analogs in the field of formal power series ⋮ On the relative growth rate of the product of consecutive partial quotients in continued fraction expansions of Laurent series ⋮ Dynamics of Ostrowski skew-product: 1. Limit laws and Hausdorff dimensions ⋮ On Hausdorff dimension in inhomogeneous Diophantine approximation over global function fields ⋮ Metrical properties for the weighted sums of degrees of multiple partial quotients in continued fractions of Laurent series ⋮ Inhomogeneous Diophantine approximation over fields of formal power series ⋮ The inhomogeneous Sprindžhuk conjecture over a local field of positive characteristic ⋮ Metrical properties for continued fractions of formal Laurent series

Cites Work

• Unnamed Item
• On sets of exact Diophantine approximation over the field of formal series
• On metric Diophantine approximation in the field of formal Laurent series
• A survey of Diophantine approximation in fields of power series
• Singular systems of linear forms and non-escape of mass in the space of lattices
• Kurzweil type metrical Diophantine properties in the field of formal Laurent series
• An analogue to Minkowski's geometry of numbers in a field of series
• Metric inhomogeneous Diophantine approximation on the field of formal Laurent series
• On well-approximable matrices over a field of formal series
• Solution of Cassels’ Problem on a Diophantine Constant over Function Fields
• Remarks on Diophantine approximation in function fields
• Hausdorff Dimension in Inhomogeneous Diophantine Approximation
• Dirichlet's Theorem in Function Fields
• Diophantine Approximation in Fields of Characteristic p

This page was built for publication: On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series