On a modular form of Zaremba's conjecture

DOI10.2140/pjm.2020.309.195zbMath1500.11058arXiv1911.07487OpenAlexW3116082281MaRDI QIDQ2226648

Ilya D. Shkredov, Nikolay G. Moshchevitin

Publication date: 9 February 2021

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.07487

zbMATH Keywords

continued fractionsZaremba's conjecturegrowth in groups

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Continued fractions and generalizations (11J70) Additive bases, including sumsets (11B13) Classical groups (11E57)

Related Items

Non-commutative methods in additive combinatorics and number theory, Strengthening of the Bourgain-Kontorovich theorem on small values of Hausdorff dimension, On the distribution of partial quotients of reduced fractions with fixed denominator, Modular generalization of the Bourgain-Kontorovich theorem, A strengthening the one of a theorem of Bourgain-Kontorovich, A strengthening of the Bourgain-Kontorovich method: three new theorems, Growth in Chevalley groups relatively to parabolic subgroups and some applications, Hausdorff dimension estimates applied to Lagrange and Markov spectra, Zaremba theory, and limit sets of Fuchsian groups

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