A Criterion for linear independence of infinite products

Hančl, Jaroslav; Kolouch, Ondřej; Novotný, Lukáš

doi:10.1515/auom-2015-0029

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A Criterion for linear independence of infinite products

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 23 (2015): Issue 2 (June 2015)

By: Jaroslav Hančl, Ondřej Kolouch and Lukáš Novotný

Open Access

|Apr 2017

Abstract

Using an idea of Erdős the paper establishes a criterion for the linear independence of infinite products which consist of rational numbers. A criterion for irrationality is obtained as a consequence.

References

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DOI: https://doi.org/10.1515/auom-2015-0029 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 107 - 120

Submitted on: Oct 1, 2013

Accepted on: Dec 1, 2013

Published on: Apr 22, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

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© 2017 Jaroslav Hančl, Ondřej Kolouch, Lukáš Novotný, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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