Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres (Q6191290)

scientific article; zbMATH DE number 7802413

Language	Label	Description	Also known as
English	Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres	scientific article; zbMATH DE number 7802413

Statements

instance of

scholarly article

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title

Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres (English)

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arXiv ID

2106.12015

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DOI

10.1007/s00208-022-02557-8

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Tomasz Zachary Szarek

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published in

Mathematische Annalen

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publication date

9 February 2024

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full work available at URL

https://arxiv.org/abs/2106.12015

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http://hdl.handle.net/20.500.11824/1635

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Mathematics Subject Classification ID

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MaRDI publication profile

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Quantitative \(l^p\)-improving for discrete spherical averages along the primes

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On the ergodic Waring-Goldbach problem

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Improved ℓp -Boundedness for Integral k -Spherical Maximal Functions

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ON WARING'S PROBLEM WITH NONINTEGRAL EXPONENT

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A hybrid of theorems of Vinogradov and Piatetski-Shapiro

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On the Representations of a Number as the Sum of Three Squares

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Variation bounds for spherical averages

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Forms in many variables

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Averages in the plane over convex curves and maximal operators

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Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein

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Dimension-Free Estimates for Discrete Hardy-Littlewood Averaging Operators Over the Cubes in ℤd

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On the Hardy–Littlewood Maximal Functions in High Dimensions: Continuous and Discrete Perspective

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Spatial statistics for lattice points on the sphere I: Individual results

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Maximal function inequalities and a theorem of Birch

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A note on discrete spherical averages over sparse sequences

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Bounds for Lacunary maximal functions given by Birch–Magyar averages

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Cubic forms in thirty-two variables

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Problème de Waring avec exposants non entiers

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Hyperbolic distribution problems and half-integral weight Maass forms

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Linnik's ergodic method and the distribution of integer points on spheres

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Q4255465

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Asymptotic distribution of integral points on the three-dimensional sphere

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Q3693570

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The Pjateckii-Sapiro prime number theorem

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The discrete spherical averages over a family of sparse sequences

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Restricted weak-type endpoint estimates for \(k\)-spherical maximal functions

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Maximal functions and ergodic averages related to Waring's problem

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\(\ell^p\)-improving for discrete spherical averages

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An endpoint estimate for the discrete spherical maximal function

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Maximal averages over surfaces

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On averaging operators associated with convex hypersurfaces of finite type

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Fourier coefficients of modular forms of half-integral weight

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Q4830109

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Strong variational and jump inequalities in harmonic analysis

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\(\ell^p(\mathbb{Z}^d)\)-improving properties and sparse bounds for discrete spherical maximal averages

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\(\ell^p\)-improving inequalities for discrete spherical averages

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Lacunary discrete spherical maximal functions

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Sparse bounds for the discrete spherical maximal functions

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Q5544398

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\(L^p\)-bounds for spherical maximal operators on \(\mathbb Z^n\)

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Diophantine equations and ergodic theorems

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On the distribution of lattice points on spheres and level surfaces of polynomials

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On the Distribution of Solutions to Diophantine Equations

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Discrete analogues in harmonic analysis: spherical averages

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Roth's theorem in the Piatetski-Shapiro primes

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Weak type \((1,1)\) inequalities for discrete rough maximal functions

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\(\ell^p(\mathbb Z)\)-boundedness of discrete maximal functions along thin subsets of primes and pointwise ergodic theorems

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A bootstrapping approach to jump inequalities and their applications

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Classical and Multilinear Harmonic Analysis

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Q4889853

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Über die Classenzahl quadratischer Zahlkörper

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Maximal functions: Spherical means

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Sitelinks

Mathematics(1 entry)

mardi Publication:6191290