<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

A Criterion for linear independence of infinite products

Department of Mathematics and Centre of Excellence IT4Innovation, division of UO, Institute for Research and Applications of Fuzzy Modeling University of Ostrava 30. dubna 22, 701 03 Ostrava 1,

Department of Mathematics Faculty of Science University of Ostrava 30. Dubna 22, 701 03 Ostrava 1,

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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

{"article-title":"A Criterion for linear independence of infinite products"}

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...

A Criterion for linear independence of infinite products

Publié en ligne: 22 avr. 2017

Pages: 107 - 120

Reçu: 01 oct. 2013

Accepté: 01 déc. 2013

DOI: https://doi.org/10.1515/auom-2015-0029

Mots clés
Linear independence, infinite product, irrationality

© 2017

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

A Criterion for linear independence of infinite products

Publié en ligne: 22 avr. 2017

Pages: 107 - 120

Reçu: 01 oct. 2013

Accepté: 01 déc. 2013

DOI: https://doi.org/10.1515/auom-2015-0029

Mots clésLinear independence, infinite product, irrationality

© 2017

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

Mots clés
Linear independence, infinite product, irrationality