Uniform distribution of prime powers and sets of recurrence and van der Corput sets in ℤk View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2014-04

AUTHORS

Vitaly Bergelson, Grigori Kolesnik, Manfred Madritsch, Younghwan Son, Robert Tichy

ABSTRACT

We establish new results on sets of recurrence and van der Corput sets in ℤk which refine and unify some of the previous results obtained by Sárkőzy, Furstenberg, Kamae and Mèndes France, and Bergelson and Lesigne. The proofs utilize a general equidistribution result involving prime powers which is of independent interest. More... »

PAGES

729-760

References to SciGraph publications

  • 1978-09. Van der corput’s difference theorem in ISRAEL JOURNAL OF MATHEMATICS
  • 1987-06. Ruzsa’s problem on sets of recurrence in ISRAEL JOURNAL OF MATHEMATICS
  • 1978-03. On difference sets of sequences of integers. I in ACTA MATHEMATICA
  • 1977-12. Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions in JOURNAL D'ANALYSE MATHÉMATIQUE
  • 1986-06. Ensembles Intersectifs et Récurrence de Poincaré in ISRAEL JOURNAL OF MATHEMATICS
  • 1978-09. On difference sets of sequences of integers. III in ACTA MATHEMATICA
  • 1997. Sequences, Discrepancies and Applications in NONE
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11856-014-1049-4

    DOI

    http://dx.doi.org/10.1007/s11856-014-1049-4

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1038851105


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