ON THE LARGEST DEGREE OF THE PARTIAL QUOTIENTS IN CONTINUED FRACTION EXPANSIONS OVER THE FIELD OF FORMAL LAURENT SERIES

DOI10.1142/S1793042113500231zbMath1276.11119MaRDI QIDQ2840303

Huiping Jing, Jian Xu, Lu-Ming Shen

Publication date: 17 July 2013

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensioncontinued fractionformal Laurent seriesiterated logarithm law

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Approximation in non-Archimedean valuations (11J61)

Related Items (5)

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 ⋮ Perfect linear complexity profile and apwenian sequences ⋮ Metrical properties for continued fractions of formal Laurent series ⋮ A note on the largest digits in Lüroth expansion

Cites Work

• 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
• An analogue of a theorem of Szüsz for formal Laurent series over finite fields.
• A survey of Diophantine approximation in fields of power series
• Cantor sets determined by partial quotients of continued fractions of Laurent series
• Sets of exact approximation order by rational numbers III
• A metric theorem for restricted Diophantine approximation in positive characteristic
• The distribution of the largest digit in continued fraction expansions
• On the relative growth rate of degrees of partial quotients in continued fractions over the field of formal Laurent series
• On well-approximable matrices over a field of formal series

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