[Une version polynomiale de la conjecture de Sarnak]
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.
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@article{CRMATH_2015__353_7_569_0,
author = {Eisner, Tanja},
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},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2015.04.009/}
}
TY - JOUR AU - Eisner, Tanja TI - A polynomial version of Sarnak's conjecture JO - Comptes Rendus. Mathématique PY - 2015 SP - 569 EP - 572 VL - 353 IS - 7 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2015.04.009/ DO - 10.1016/j.crma.2015.04.009 LA - en ID - CRMATH_2015__353_7_569_0 ER -
Eisner, Tanja. A polynomial version of Sarnak's conjecture. Comptes Rendus. Mathématique, Tome 353 (2015) no. 7, pp. 569-572. doi : 10.1016/j.crma.2015.04.009. http://archive.numdam.org/articles/10.1016/j.crma.2015.04.009/
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