3 papers
math.DS2026
Sarnak's Program for ErdÅs Sieves. Part II: Measure Systems and Applications
Francisco Araújo
This paper is the second part of a two-part article where we generalize Sarnak's program to sets where we remove congruence classes modulo some infinite set of ideals…
math.DS2026
Sarnak's Program for ErdÅs Sieves. Part I: Topological Dynamics and Light Tails
Francisco Araújo
This paper is the first part of a two-part article where we generalize Sarnak's program to sets where we remove congruence classes modulo some infinite set of ideals…
math.DS2026
-free integers in number fields and dynamics
Francisco Araújo, Aurelia Dymek, Joanna KuÅaga-Przymus
In 2010, Sarnak initiated the study of the dynamics of the system determined by the square of the Möbius function (the characteristic function of the square-free integers). We dea…