Cover Image

Measure theoretic properties of large products of consecutive partial quotients

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Brown-Sarre, Adam, Robert, Gerardo González, Hussain, Mumtaz
Format:	Preprint
Published:	2024
Subjects:	Number Theory 11K55 (Primary) 11J83, 28A80 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Metric properties of continued fractions with large prime partial quotients
by: Cheng, Wanjin, et al.
Published: (2025)

Decomposition of real numbers into sums of Lüroth sets
by: Gravgaard, Maiken, et al.
Published: (2025)

Non-Salem sets in multiplicative Diophantine approximation
by: Tan, Bo, et al.
Published: (2024)

Uniform Diophantine approximation and run-length function in continued fractions
by: Tan, Bo, et al.
Published: (2023)

Quantitative Diophantine approximation and Fourier dimension of sets: Dirichlet non-improvable numbers versus well-approximable numbers
by: Tan, Bo, et al.
Published: (2024)

Hausdorff measures of sets in Exact Diophantine approximation
by: Tan, Bo, et al.
Published: (2025)

$δ$-Badly approximable numbers and ubiquitously losing sets
by: Tseng, Jimmy
Published: (2026)

Faithfulness and fractal (quasi-)equivalence principles for Perron, Engel, and Pierce expansions
by: Moroz, Mykola
Published: (2025)

On an Erdős similarity problem in the large
by: Gao, Xiang, et al.
Published: (2023)

Multifractal analysis of maximal product of consecutive partial quotients in continued fractions
by: Song, Kunkun, et al.
Published: (2025)

Fourier decay of measures supported on sets of numbers with consecutive partial quotients belonging to a given set
by: Fraser, Robert
Published: (2025)

The dimension of well approximable numbers
by: Beresnevich, Victor, et al.
Published: (2025)

Exceptional sets to Shallit's law of leap years in Pierce expansions
by: Ahn, Min Woong
Published: (2024)

Hausdorff dimensions in Pierce expansions
by: Ahn, Min Woong
Published: (2023)

Lower bounds for the Hausdorff dimension of expressible sets
by: Gravgaard, Maiken, et al.
Published: (2026)

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets
by: Tan, Bo, et al.
Published: (2025)

The Duffin-Schaeffer Conjecture for multiplicative Diophantine approximation
by: Frühwirth, Lorenz, et al.
Published: (2024)

Gaussian rational numbers in Cantor sets in the complex plane
by: Wu, Yu-Feng
Published: (2025)

Finite pattern problems related to Engel expansion
by: Cao, Chun-Yun, et al.
Published: (2025)

Convergence exponent of Dirichlet non-improvable numbers in the theory of continued fractions
by: Tan, Xiaoyan, et al.
Published: (2025)

Rational points near manifolds and Khintchine theorem
by: Beresnevich, Victor, et al.
Published: (2025)

The metric theory of small gaps for a sequence of real numbers
by: Mahajan, Jewel
Published: (2025)

On the minimal length of addition chains
by: De Koninck, Jean-Marie, et al.
Published: (2025)

On Fourier asymptotics and effective equidistribution
by: Datta, Shreyasi, et al.
Published: (2024)

A winning approach to the intersections of twisted non-recurrent sets with fractals
by: Huang, Junjie, et al.
Published: (2025)

An elementary proof that the set of exceptions to the law of large numbers in Pierce expansions has full Hausdorff dimension
by: Ahn, Min Woong
Published: (2024)

Metric theory of inhomogeneous Diophantine approximations with a fixed matrix
by: Moshchevitin, Nikolay, et al.
Published: (2025)

On Eswarathasan--Levine and Boyd's conjectures for harmonic numbers
by: Carofiglio, Leonardo, et al.
Published: (2025)

A Weyl equidistribution theorem over function fields
by: Ackelsberg, Ethan
Published: (2025)

The bad and rough rotation is Poissonian
by: Hauke, Manuel
Published: (2025)

Automorphic density estimates and optimal Diophantine exponents
by: Fraczyk, Mikolaj, et al.
Published: (2024)

Twisted approximation with restricted denominators
by: Hauke, Manuel, et al.
Published: (2025)

Intersecting well approximable and missing digit sets
by: Li, Bing, et al.
Published: (2025)

A note on polynomial equidistribution and recurrence in finite characteristic
by: Ackelsberg, Ethan, et al.
Published: (2026)

A unifying theory for metrical results on regular continued fraction convergents and mediants
by: Dajani, Karma, et al.
Published: (2023)

Effective pair correlations of fractional powers of complex grid points
by: Sayous, Rafael
Published: (2023)

The congruence properties of Romik's sequence of Taylor coefficients of Jacobi's theta function $θ_3$
by: Krattenthaler, Christian, et al.
Published: (2023)

Adelic Eisenstein classes and divisibility properties of Stickelberger elements
by: Galanakis, Alexandros, et al.
Published: (2024)

Effective pair correlations of fractional powers of integers
by: Sayous, Rafael
Published: (2023)

Equidistribution of polynomial sequences in function fields: resolution of a conjecture
by: Champagne, Jérémy, et al.
Published: (2025)