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math.NT2023★ 2 cited
Furstenberg systems of pretentious and MRT multiplicative functions
Nikos Frantzikinakis, Mariusz Lemańczyk, Thierry de la Rue
We prove structural results for measure preserving systems, called Furstenberg systems, naturally associated with bounded multiplicative functions. We show that for all pretentious…
math.NT2017★ 2 cited
A generalization of Kátai's orthogonality criterion with applications
V. Bergelson, J. Kułaga-Przymus, M. Lemańczyk +1
We study properties of arithmetic sets coming from multiplicative number theory and obtain applications in the theory of uniform distribution and ergodic theory. Our main theorem i…