Dynamical models for Liouville and obstructions to further progress on sign patterns

DOI10.1016/j.jnt.2020.01.012zbMath1464.37003arXiv1809.03280OpenAlexW3005536004MaRDI QIDQ2182149

William F. Sawin

Publication date: 21 May 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.03280

zbMATH Keywords

dynamical systemssign patternsChowla conjectureLiouville function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Other results on the distribution of values or the characterization of arithmetic functions (11N64) Relations between ergodic theory and number theory (37A44)

Related Items (2)

Around the Thom-Sebastiani theorem, with an appendix by Weizhe Zheng ⋮ Sarnak’s conjecture for sequences of almost quadratic word growth

Cites Work

• Multiplicative functions in short intervals
• The logarithmic Sarnak conjecture for ergodic weights
• The structure of logarithmically averaged correlations of multiplicative functions, with applications to the Chowla and Elliott conjectures
• Higher order Fourier analysis of multiplicative functions and applications
• THE LOGARITHMICALLY AVERAGED CHOWLA AND ELLIOTT CONJECTURES FOR TWO-POINT CORRELATIONS
• Equivalence of the Logarithmically Averaged Chowla and Sarnak Conjectures
• Sarnak’s conjecture for sequences of almost quadratic word growth
• SIGN PATTERNS OF THE LIOUVILLE AND MÖBIUS FUNCTIONS

This page was built for publication: Dynamical models for Liouville and obstructions to further progress on sign patterns