Geodesic
Automatic sequences generated by synchronizing automata fulfill the Sarnak conjecture
Jean-Marc Deshouillers 1   ; Michael Drmota 2   ; Clemens Müllner 2
1 Institut Mathématique de Bordeaux Bordeaux INP 33405 Talence, France
2 Institut für Diskrete Mathematik und Geometrie TU Wien Wiedner Hauptstr. 8–10 1040 Wien, Austria
Studia Mathematica, Tome 231 (2015) no. 1, pp. 83-95 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that automatic sequences generated by synchronizing automata satisfy the full Sarnak conjecture. This is of particular interest, since Berlinkov proved recently that almost all automata are synchronizing.
DOI : 10.4064/sm8479-2-2016
Keywords: prove automatic sequences generated synchronizing automata satisfy full sarnak conjecture particular interest since berlinkov proved recently almost automata synchronizing

Jean-Marc Deshouillers  1   ; Michael Drmota  2   ; Clemens Müllner  2

1 Institut Mathématique de Bordeaux Bordeaux INP 33405 Talence, France
2 Institut für Diskrete Mathematik und Geometrie TU Wien Wiedner Hauptstr. 8–10 1040 Wien, Austria 
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Jean-Marc Deshouillers; Michael Drmota; Clemens Müllner. Automatic sequences generated by synchronizing automata fulfill the Sarnak conjecture. Studia Mathematica, Tome 231 (2015) no. 1, pp. 83-95. doi: 10.4064/sm8479-2-2016

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