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Liouville sequences*

Published online by Cambridge University Press:  22 January 2016

Jaroslav Hančl
Jaroslav Hančl*
Affiliation:
Department of Mathematics, University of Ostrava, Dvořákova 7, 701 03 Ostrava 1 Czech Republichancl@osu.cz
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Abstract

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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

11J28
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 172 , 2003 , pp. 173 - 187
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2003

Footnotes

*

Supported by the grant 201/01/0471 of the Czech Grant Agency

References

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