Uniform distribution of prime powers and sets of recurrence and van der Corput sets in \(\mathbb{Z}^k\)

DOI10.1007/s11856-014-1049-4zbMath1316.11062arXiv1304.4641OpenAlexW2002932499MaRDI QIDQ466099

Younghwan Son, Vitaly Bergelson, Manfred G. Madritsch, Grigori Kolesnik, Robert F. Tichy

Publication date: 24 October 2014

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4641

zbMATH Keywords

recurrenceuniform distributionprime powervan der Corput set

Mathematics Subject Classification ID

Well-distributed sequences and other variations (11K36) Distribution modulo one (11J71)

Related Items (11)

Dynamical Systems and Uniform Distribution of Sequences ⋮ An ergodic correspondence principle, invariant means and applications ⋮ Some open problems on multiple ergodic averages ⋮ Construction of normal numbers via pseudo-polynomial prime sequences ⋮ On the directions determined by Cartesian products and the clique number of generalized Paley graphs ⋮ On small fractional parts of perturbed polynomials ⋮ Uniform distribution of subpolynomial functions along primes and applications ⋮ On uniform distribution of polynomials and good universality ⋮ MULTIDIMENSIONAL VAN DER CORPUT SETS AND SMALL FRACTIONAL PARTS OF POLYNOMIALS ⋮ Joint ergodicity of fractional powers of primes ⋮ On small fractional parts of polynomial-like functions

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