Comptes Rendus
Number theory/Dynamical systems
A polynomial version of Sarnak's conjecture
Comptes Rendus. Mathématique, Volume 353 (2015) no. 7, pp. 569-572.

Motivated by the variations of Sarnak's conjecture due to El Abdalaoui, Kulaga-Przymus, Lemańczyk, de la Rue and by the observation that the Möbius function is a good weight (with limit zero) for the polynomial pointwise ergodic theorem, we introduce a polynomial version of the Sarnak conjecture for minimal systems.

Motivés par les variations de la conjecture de Sarnak établies par El Abdalaoui, Kulaga-Przymus, Lemańczyk et de la Rue ainsi que par l'observation de ce que la fonction de Möbius est un bon poids (avec limite zéro) pour le théorème ergodique polynomial ponctuel, nous introduisons une version polynomiale de la conjecture de Sarnak pour les systèmes minimaux.

Published online:
DOI: 10.1016/j.crma.2015.04.009

Tanja Eisner 1

1 Institute of Mathematics, University of Leipzig, P.O. Box 100 920, 04009 Leipzig, Germany
     author = {Tanja Eisner},
     title = {A polynomial version of {Sarnak's} conjecture},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {569--572},
     publisher = {Elsevier},
     volume = {353},
     number = {7},
     year = {2015},
     doi = {10.1016/j.crma.2015.04.009},
     language = {en},
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DO  - 10.1016/j.crma.2015.04.009
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Tanja Eisner. A polynomial version of Sarnak's conjecture. Comptes Rendus. Mathématique, Volume 353 (2015) no. 7, pp. 569-572. doi : 10.1016/j.crma.2015.04.009.

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