A strengthening of a theorem of Bourgain and Kontorovich. IV

DOI10.1070/IM8360zbMath1378.11076arXiv1503.06132MaRDI QIDQ2966732

Igor D. Kan

Publication date: 8 March 2017

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

Full work available at URL: https://arxiv.org/abs/1503.06132

zbMATH Keywords

continued fractionsZaremba's conjecturedensity in integers

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Continued fractions and generalizations (11J70) Continued fractions (11A55)

Related Items (12)

A strengthening of a theorem of Bourgain and Kontorovich. V ⋮ Non-commutative methods in additive combinatorics and number theory ⋮ Strengthening of the Bourgain-Kontorovich theorem on small values of Hausdorff dimension ⋮ Modular generalization of the Bourgain-Kontorovich theorem ⋮ Popular products and continued fractions ⋮ System of inequalities in continued fractions from finite alphabets ⋮ Is Zaremba's conjecture true? ⋮ 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

Cites Work

• A strengthening of a theorem of Bourgain-Kontorovich. II
• An improvement to Zaremba's conjecture
• ON THE DENSITY OF HAUSDORFF DIMENSIONS OF BOUNDED TYPE CONTINUED FRACTION SETS: THE TEXAN CONJECTURE
• On Zaremba's conjecture

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