À propos de cet article
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
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.