On certain aspects of the M\"obius randomness principle
Volume 157 / 2019
Colloquium Mathematicum 157 (2019), 231-250
MSC: Primary 37B10; Secondary 37A45.
DOI: 10.4064/cm7538-7-2018
Published online: 10 May 2019
Abstract
We study different aspects of the Möbius randomness principle. We rephrase the Chowla and Sarnak conjectures and the Riemann hypothesis for abstract sequences and study their relationship. In particular, we show that in this setting the Chowla and Sarnak conjectures do not imply the Riemann hypothesis. We also study the connections between the multiplicative and additive van der Corput criteria.
