A polynomial version of Sarnak's conjecture

Tanja Eisner

doi:10.1016/j.crma.2015.04.009

Number theory/Dynamical systems

A polynomial version of Sarnak's conjecture
[Une version polynomiale de la conjecture de Sarnak]

Présenté par : the Editorial Board

Tanja Eisner ¹

¹ Institute of Mathematics, University of Leipzig, P.O. Box 100 920, 04009 Leipzig, Germany

Comptes Rendus. Mathématique, Volume 353 (2015) no. 7, pp. 569-572.

Résumé
Abstract

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.

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.

Reçu le : 2015-01-21
Accepté le : 2015-04-14
Publié le : 2015-04-29

DOI : 10.1016/j.crma.2015.04.009

Affiliations des auteurs :

Tanja Eisner ¹

¹ Institute of Mathematics, University of Leipzig, P.O. Box 100 920, 04009 Leipzig, Germany

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     title = {A polynomial version of {Sarnak's} conjecture},
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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. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.04.009/

Bibliographie
Cité par

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