Uniform distribution of subpolynomial functions along primes and applications

DOI10.1007/s11854-018-0068-1zbMath1477.11128arXiv1503.04960OpenAlexW2964280396MaRDI QIDQ2000389

Younghwan Son, Vitaly Bergelson, Grigori Kolesnik

Publication date: 28 June 2019

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.04960

zbMATH Keywords

uniform distributionHardy fieldintersective setsFurstenberg's correspondence principle

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Distribution modulo one (11J71) General theory of distribution modulo (1) (11K06)

Related Items

An ergodic correspondence principle, invariant means and applications, Some open problems on multiple ergodic averages, On the Density of Coprime Tuples of the Form (n, ⌊ f 1(n)⌋, …, ⌊ f k (n)⌋), Where f 1, …, f k Are Functions from a Hardy Field, Juxtaposing combinatorial and ergodic properties of large sets of integers, Power bounded operators and the mean ergodic theorem for subsequences, Multiple ergodic averages for tempered functions, Distributions of finite sequences represented by polynomials in Piatetski-Shapiro sequences, MULTIDIMENSIONAL VAN DER CORPUT SETS AND SMALL FRACTIONAL PARTS OF POLYNOMIALS, Joint ergodicity of fractional powers of primes

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