A strengthening of a theorem of Bourgain and Kontorovich. III

DOI10.1070/IM2015V079N02ABEH002743zbMath1319.11047OpenAlexW4231961316MaRDI QIDQ5254309

Igor D. Kan

Publication date: 9 June 2015

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

Full work available at URL: https://doi.org/10.1070/im2015v079n02abeh002743

zbMATH Keywords

continued fractiontrigonometric sumcontinuantZaremba's conjecture

Mathematics Subject Classification ID

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

Related Items (11)

A strengthening of a theorem of Bourgain and Kontorovich. V ⋮ Inversion of the Cauchy-Bunyakovskii-Schwarz inequality ⋮ 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

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