2 papers
math.NT2025
Weighted uniform distribution of subpolynomial functions along primes and applications
Vitaly Bergelson, Grigori Kolesnik, Younghwan Son
Let be a subpolynomial function in a Hardy field. We establish necessary and sufficient conditions for the weighted uniform distribution of the sequences $(u(n))_{n\in\mathb…
math.NT2024
Exceptional Points for Density Modulo 1
Daniel Berend, Michael D. Boshernitzan, Grigori Kolesnik +1
It is well known that almost every dilation of a sequence of real numbers, that diverges to , is dense modulo~1. This paper studies the exceptional set of points -- those f…