<abstract xmlns="http://www.w3.org/1999/xhtml">We show that for an arbitrary sequence of intervals <italic>I</italic>n with constant length c, there exist real numbers <italic>β</italic> such that for all n <italic>β</italic>n belongs to <italic>I</italic>n modulo one.</abstract>

We show that for an arbitrary sequence of intervals In with constant length c, there exist real numbers β such that for all n βn belongs to In modulo one.

Sur Les Parties Fractionnaires Des Suites (<italic>β</italic><italic>n</italic>)<italic>n</italic>≥1

Uniform distribution theory

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Sur Les Parties Fractionnaires Des Suites ()

Sur Les Parties Fractionnaires Des Suites (βⁿ)_n_≥1

Published Online: Mar 27, 2020

Page range: 69 - 72

Received: Jul 19, 2018

Accepted: Jun 28, 2018

DOI: https://doi.org/10.2478/udt-2019-0014

Keywords
Distribution modulo one, sequence of intervals, exponential sequence

© 2019 Anne Bertrand-Mathis, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Sur Les Parties Fractionnaires Des Suites (βn)n≥1

Published Online: Mar 27, 2020

Page range: 69 - 72

Received: Jul 19, 2018

Accepted: Jun 28, 2018

DOI: https://doi.org/10.2478/udt-2019-0014

KeywordsDistribution modulo one, sequence of intervals, exponential sequence

© 2019 Anne Bertrand-Mathis, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Sur Les Parties Fractionnaires Des Suites (βⁿ)_n_≥1

Keywords
Distribution modulo one, sequence of intervals, exponential sequence