Popular products and continued fractions
From MaRDI portal
Publication:2200058
DOI10.1007/s11856-020-2039-3zbMath1450.11007arXiv1808.05845OpenAlexW3042175759MaRDI QIDQ2200058
Brendan Murphy, Nikolay G. Moshchevitin, Ilya D. Shkredov
Publication date: 15 September 2020
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.05845
Related Items (10)
Non-commutative methods in additive combinatorics and number theory ⋮ Strengthening of the Bourgain-Kontorovich theorem on small values of Hausdorff dimension ⋮ On the growth rate in SL2(Fp)${\rm SL_2}(\mathbb {F}_p)$, the affine group and sum‐product type implications ⋮ Modular generalization of the Bourgain-Kontorovich theorem ⋮ On a girth-free variant of the Bourgain-Gamburd machine ⋮ On a modular form of Zaremba's conjecture ⋮ On asymptotic formulae in some sum–product questions ⋮ 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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Markoff triples and strong approximation
- On the spectral gap for infinite index ``congruence subgroups of \(SL_2(\mathbb{Z})\)
- The distribution of badly approximable rationals and continuants with bounded digits. II
- Dyadic fractions with small partial quotients
- Explicit constructions of graphs without short cycles and low density codes
- Continued fraction Cantor sets, Hausdorff dimension, and functional analysis
- On linear combinatorics. I: Concurrency---an algebraic approach
- Conditional expanding bounds for two-variable functions over arbitrary fields
- A modular Szemerédi-Trotter theorem for hyperbolas
- A strengthening of a theorem of Bourgain-Kontorovich. II
- Uniform congruence counting for Schottky semigroups in \(\mathrm{SL}_2(\mathbb{Z})\)
- An improvement to Zaremba's conjecture
- A strengthening of a theorem of Bourgain and Kontorovich. V
- Uniform expansion bounds for Cayley graphs of \(\text{SL}_2(\mathbb F_p)\).
- Some remarks on the asymmetric sum-product phenomenon
- The law of large numbers for the sum of the partial quotients of a rational number with fixed denominator
- Notes on Thin Matrix Groups
- A strengthening of a theorem of Bourgain and Kontorovich. IV
- QUASIRANDOM GROUP ACTIONS
- Symmetric Random Walks on Groups
- Sets of the form $ \mathscr A+\mathscr B$ and finite continued fractions
- On the number of sums and products
- Equidistribution of divergent orbits and continued fraction expansion of rationals
- Growth Estimates in Positive Characteristic via Collisions
- On asymptotic formulae in some sum–product questions
- Random Walks on Infinite Graphs and Groups
- A strengthening of a theorem of Bourgain and Kontorovich. III
- MORE ON THE SUM-PRODUCT PHENOMENON IN PRIME FIELDS AND ITS APPLICATIONS
- On certain Littlewood-like and Schmidt-like problems in inhomogeneous Diophantine approximations
- A strengthening of a theorem of Bourgain and Kontorovich
- ON THE DENSITY OF HAUSDORFF DIMENSIONS OF BOUNDED TYPE CONTINUED FRACTION SETS: THE TEXAN CONJECTURE
- On Zaremba's conjecture
- On Zaremba's conjecture
This page was built for publication: Popular products and continued fractions