Article contents
Liouville sequences*
Published online by Cambridge University Press: 22 January 2016
Abstract
The new concept of a Liouville sequence is introduced in this paper by mean of the related Liouville series. Main results are two criteria for when certain sequences are Liouville. Several applications are presented. A counterexample is included for the case that we substantially weaken the hypotheses in the main results.
Keywords
- Type
- Research Article
- Information
- Copyright
- Copyright © Editorial Board of Nagoya Mathematical Journal 2003
Footnotes
Supported by the grant 201/01/0471 of the Czech Grant Agency
References
- 4
- Cited by