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A common structure of $n_k$'s for which $n_k/alpha/bmod1/to x$

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F15%3A00445154" target="_blank" >RIV/67985807:_____/15:00445154 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    A common structure of $n_k$'s for which $n_k/alpha/bmod1/to x$

  • Original language description

    In this paper the authors show, among other, that for every irrational number alpha and every real number x from the unit interval and a given decreasing sequence of positive numbers converging to 0 it is possible to construct a sequence of positive integers subject to a growing condition depending on the given decreasing sequence, which when multiplied by the given irrational number alpha converge to the given real number x.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GAP201%2F12%2F2351" target="_blank" >GAP201/12/2351: Distribution and metric properties of number sequences and their applications</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Publicationes Mathematicae-Debrecen

  • ISSN

    0033-3883

  • e-ISSN

  • Volume of the periodical

    86

  • Issue of the periodical within the volume

    3-4

  • Country of publishing house

    HU - HUNGARY

  • Number of pages

    10

  • Pages from-to

    493-502

  • UT code for WoS article

    000366463200017

  • EID of the result in the Scopus database