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Acta Arithmetica
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Article . 2011 . Peer-reviewed
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On the zeros of linear recurrence sequences

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2011Embargo end date: 01 Jan 2010 France, Italy, Switzerland English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Acta Arithmetica, volume 147, pages 387-396 (issn: 0065-1036, eissn: 1730-6264, Copyright policy )
Authors: Amoroso, Francesco; Viada, Evelina;

doi: 10.4064/aa147-4-4 , 10.5451/unibas-ep18526

handle: 2318/1944878

On the zeros of linear recurrence sequences

Abstract

We improve by one exponential W. M. Schmidt's estimate for the Skolem-Mahler-Lech theorem on the number of arithmetic progressions describing the zeros of a linear recurrence sequence.

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France, Italy, Switzerland
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Keywords

[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Top 10%
Top 10%
Average
Green
bronze