Is Zaremba's conjecture true?

DOI10.1070/SM9018zbMath1437.11010OpenAlexW2901402022WikidataQ123099520 ScholiaQ123099520MaRDI QIDQ5377114

Igor D. Kan

Publication date: 23 May 2019

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9018

zbMATH Keywords

Hausdorff dimensioncontinued fractiontrigonometric sumcontinuantpartial quotientsZaremba's conjecture

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Continued fraction calculations (number-theoretic aspects) (11Y65)

Related Items (8)

Strengthening of the Bourgain-Kontorovich theorem on small values of Hausdorff dimension ⋮ Modular generalization of the Bourgain-Kontorovich theorem ⋮ System of inequalities in continued fractions from finite alphabets ⋮ A strengthening the one of a theorem of Bourgain-Kontorovich ⋮ A strengthening of the Bourgain-Kontorovich method: three new theorems ⋮ Inversions of Hölder's inequality ⋮ Linear inhomogeneous congruences in continued fractions on finite alphabets ⋮ Hausdorff dimension estimates applied to Lagrange and Markov spectra, Zaremba theory, and limit sets of Fuchsian groups

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