Cover Image

Lattice points in thickened parabolas and rational points near hypersurfaces

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Smith, Alexander
Format:	Preprint
Published:	2025
Subjects:	Number Theory Dynamical Systems 37A44, 11K60
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Submanifold-genericity of $\mathbb{R}^d$-actions and uniform multiplicative Diophantine approximation
by: Bandi, Prasuna, et al.
Published: (2025)

Extravagance, irrationality and Diophantine approximation
by: Aaronson, Jon, et al.
Published: (2024)

Products of exact dynamical systems and Lorentzian continued fractions
by: Barreto-Rosa, Brandon G., et al.
Published: (2025)

Furstenberg systems of pretentious and MRT multiplicative functions
by: Frantzikinakis, Nikos, et al.
Published: (2023)

The influence of the maximal summand on ergodic sums of non-integrable observables over rotations
by: Kanigowski, Adam, et al.
Published: (2025)

Convergence of Time-Average along Uniformly Behaved in ${\mathbb N}$ Sequences on Every Point
by: Jiang, Yunping, et al.
Published: (2023)

Non-Expanding Random walks on Homogeneous spaces and Diophantine approximation
by: Aggarwal, Gaurav, et al.
Published: (2024)

On some classification problems of multiplicative functions
by: Kasjan, S., et al.
Published: (2025)

On a tree of rational functions related to continued fractions
by: Langeveld, Niels, et al.
Published: (2025)

Limit Theorems for a class of unbounded observables with an application to "Sampling the Lindelöf hypothesis"
by: Fernando, Kasun, et al.
Published: (2023)

On the Gauss-Kuzmin-Lévy problem for nearest integer continued fractions
by: Boca, Florin P., et al.
Published: (2022)

The distribution of intersections in $\mathrm{SL}(3, \mathbb{Z}) \backslash \mathrm{SL}(3, \mathbb{R})$ and lattices related to roots of cubic congruences
by: Welsh, Matthew
Published: (2025)

Are prime numbers and quadratic residues random?
by: Blank, Michael
Published: (2024)

Limit laws of maximal Birkhoff sums for circle rotations via quantum modular forms
by: Borda, Bence
Published: (2023)

Smallest denominators
by: Marklof, Jens
Published: (2023)

Superoptimal continued fractions
by: Sanderson, Slade
Published: (2025)

On the rate of convergence of continued fraction statistics of random rationals
by: David, Ofir, et al.
Published: (2024)

Trimmed ergodic sums for non-integrable functions with power singularities over irrational rotations
by: Auer, Max, et al.
Published: (2025)

The log moments of smallest denominators
by: Marklof, Jens
Published: (2023)

Quantitative bounds for Gowers uniformity of the Möbius and von Mangoldt functions
by: Tao, Terence, et al.
Published: (2021)

A new family of expansions of real numbers
by: Neunhäuserer, Jörg
Published: (2024)

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

Visiting early at prime times
by: Haddad, Tony, et al.
Published: (2024)

Almost sure limit theorems with applications to non-regular continued fraction algorithms
by: Bonanno, Claudio, et al.
Published: (2023)

On multiplicative recurrence along linear patterns
by: Charamaras, Dimitrios, et al.
Published: (2024)

Pointwise convergence of ergodic averages with Möbius weight
by: Teräväinen, Joni
Published: (2024)

Dynamics of multiplicative groups over fields and Folner-Kloosterman sums
by: Björklund, Michael, et al.
Published: (2025)

Gaps in the complex Farey sequence of an imaginary quadratic number field
by: Sayous, Rafael
Published: (2024)

Dynamics of $\mathscr{B}$-free systems generated by Behrend sets. I
by: Kasjan, Stanisław, et al.
Published: (2022)

On Convergents of Proper Continued Fractions
by: Langeveld, Niels, et al.
Published: (2024)

Effective multi-equidistribution for translates of unipotent flows and Central limit theorems in inhomogeneous Diophantine approximation
by: Aggarwal, Gaurav, et al.
Published: (2026)

Equidistribution of cusp points of Hecke triangle groups
by: Breitkopf, Laura, et al.
Published: (2024)

Furstenberg systems of certain sequences of superpolynomial growth
by: Moragues, Andreu Ferré, et al.
Published: (2025)

Mean value theorems in multiplicative systems and joint ergodicity of additive and multiplicative actions
by: Charamaras, Dimitrios
Published: (2024)

Inducing contractions of the mother of all continued fractions
by: Dajani, Karma, et al.
Published: (2025)

Accumulation points of normalized approximations
by: Dhanda, Kavita, et al.
Published: (2023)

Density of shapes of periodic tori in the cubic case
by: Dang, Nguyen-Thi, et al.
Published: (2025)

Borel-Cantelli, zero-one laws and inhomogeneous Duffin-Schaeffer
by: Beresnevich, Victor, et al.
Published: (2024)

Sharpening Vahlen's result in Diophantine approximation
by: Bakhtawar, Ayreena, et al.
Published: (2025)

A new class of $α$-Farey maps and an application to normal numbers
by: Dajani, Karma, et al.
Published: (2024)