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ERDŐS’ METHOD FOR DETERMINING THE IRRATIONALITY OF PRODUCTS
Published online by Cambridge University Press: 13 July 2011
Abstract
This paper deals with a sufficient condition for the infinite product of rational numbers to be an irrational number. The condition requires only some conditions for convergence and does not use other properties like divisibility. The proof is based on an idea of Erdős.
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- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 84 , Issue 3 , December 2011 , pp. 414 - 424
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2011
Footnotes
The first author was supported by the grants no. ME09017 and MSM 6198898701.
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