Abstract
AbstractThe 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.
Publisher
Cambridge University Press (CUP)
Cited by
4 articles.
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1. On Liouville Sequences in the Non-Archimedean Case;Chinese Journal of Mathematics;2014-03-05
2. On some power series with algebraic coefficients and Liouville numbers;Journal of Inequalities and Applications;2013-04-16
3. On expressible sets and p-adic numbers;Proceedings of the Edinburgh Mathematical Society;2011-02-25
4. Asymptotic distance and its application;Rocky Mountain Journal of Mathematics;2011-02-01