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11j28

Nagoya Mathematical Journal (1)

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1 results

Liouville sequences *
Jaroslav Hančl
Journal:

Nagoya Mathematical Journal / Volume 172 / 2003

Published online by Cambridge University Press:

22 January 2016, pp. 173-187

Print publication:

2003
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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.