On the existence of numbers with matching continued fraction and base \(b\) expansions

DOI10.1007/S00605-023-01873-8zbMath1530.11009arXiv2108.03664MaRDI QIDQ6109715

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Publication date: 28 July 2023

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.03664

zbMATH Keywords

Hausdorff dimensioncontinued fractionBaker's theoremdecimal expansionTrott number

Mathematics Subject Classification ID

Continued fractions (11A55) Diophantine inequalities (11D75) Radix representation; digital problems (11A63) Hausdorff and packing measures (28A78) Linear forms in logarithms; Baker's method (11J86)

Cites Work

• Unnamed Item
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• Logarithmic forms and group varieties.
• ON THE NUMBER OF SOLUTIONS OF THE DIOPHANTINE EQUATIONax^m−byⁿ=c
• Rational approximations to algebraic numbers

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