Modular generalization of the Bourgain-Kontorovich theorem

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Continued fractions and generalizations (11J70) Continued fractions (11A55) Metric theory of continued fractions (11K50)

Cites Work

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Inversion of the Cauchy-Bunyakovskii-Schwarz inequality
The Hausdorff dimensions of some continued fraction Cantor sets
Linear congruences in continued fractions on finite alphabets
A polynomial time algorithm for the Hausdorff dimension of continued fraction Cantor sets
Growth in Chevalley groups relatively to parabolic subgroups and some applications
Strengthening of the Bourgain-Kontorovich theorem on small values of Hausdorff dimension
Popular products and continued fractions
On a modular form of Zaremba's conjecture
A strengthening of a theorem of Bourgain-Kontorovich. II
Uniform congruence counting for Schottky semigroups in $\mathrm{SL}_2(\mathbb{Z})$
A strengthening of a theorem of Bourgain and Kontorovich. V
A strengthening of a theorem of Bourgain and Kontorovich. IV
A strengthening of the Bourgain-Kontorovich method: three new theorems
A strengthening the one of a theorem of Bourgain-Kontorovich
A strengthening of a theorem of Bourgain and Kontorovich. III
Is Zaremba's conjecture true?
A strengthening of a theorem of Bourgain and Kontorovich
ON THE DENSITY OF HAUSDORFF DIMENSIONS OF BOUNDED TYPE CONTINUED FRACTION SETS: THE TEXAN CONJECTURE
Hausdorff dimension estimates applied to Lagrange and Markov spectra, Zaremba theory, and limit sets of Fuchsian groups
On Zaremba's conjecture
On Zaremba's conjecture
Some applications of growth in $\mathrm{SL}_2(\pmb{\mathbb{F}}_p)$ to the proof of modular versions of Zaremba's conjecture

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