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Completely Multiplicative Automatic Functions

Completely multiplicative automatic functions
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011 Belgium Publisher:Walter de Gruyter GmbHJournal:Integers, volume 11 (issn: 1867-0652, Copyright policy )
Authors: Schlage-Puchta, Jan-Christoph;

doi: 10.1515/integ.2011.055

handle: 1854/LU-1848769

Completely Multiplicative Automatic Functions

Abstract

AbstractWe show that a completely multiplicative automatic function which does not have 0 as a value is almost periodic.

Country
Belgium
Related Organizations
Keywords

Automata sequences, Mathematics and Statistics, completely multiplicative functions, multiplicative functions, Finite Automaton, automatic sequences, Arithmetic functions; related numbers; inversion formulas, Formal languages and automata, Wirsing's theorem: Halasz' theorem

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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).
    		 5
    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.
    		 Average
    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!
5
Average
Average
Average
Green
bronze