Fully oscillating sequences and weighted multiple ergodic limit

Aihua Fan (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

We prove that fully oscillating sequences are orthogonal to multiple ergodic realizations of affine maps of zero entropy on compact Abelian groups. It is more than what Sarnak's conjecture requires for these dynamical systems. (C) 2017 Academie des sciences. Published by Elsevier Masson SAS.

Domaines: Mathématiques [math]

Aihua Fan. Fully oscillating sequences and weighted multiple ergodic limit. Comptes Rendus. Mathématique, 2017, 355 (8), pp.866-870. ⟨10.1016/j.crma.2017.07.008⟩. ⟨hal-03622006⟩