Erd\H os' method for determining the irrationality of products

Authors

  • Jaroslav Hancl

Keywords:

irrationality, infinite products

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 Erd\H os. doi:10.1017/S0004972711002309

Published

2011-10-27

Issue

Vol. 84 No. 3 (2011)

Section

Articles
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