Article contents
A NOTE ON LACUNARY POWER SERIES WITH RATIONAL COEFFICIENTS
Published online by Cambridge University Press: 11 November 2015
Abstract
In this note, we prove that for any ${\it\nu}>0$, there is no lacunary entire function
$f(z)\in \mathbb{Q}[[z]]$ such that
$f(\mathbb{Q})\subseteq \mathbb{Q}$ and
$\text{den}f(p/q)\ll q^{{\it\nu}}$, for all sufficiently large
$q$.
MSC classification
- Type
- Research Article
- Information
- Copyright
- © 2015 Australian Mathematical Publishing Association Inc.
References
- 2
- Cited by