Published Online: Apr 22, 2017
Page range: 107 - 120
Received: Oct 01, 2013
Accepted: Dec 01, 2013
DOI: https://doi.org/10.1515/auom-2015-0029
Keywords
© 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.