3 papers
math.NT2026
Nine-distance theorem and growth of best-approximation denominators
Nikita Shulga
We prove a nine-distance theorem for Kronecker sequences on flat three-tori. That is, we show that among the first orbit points, at most nine distinct positive nearest-neighbou…
math.NT2025
Approximation by uniformly distributed sequences
Gerardo González Robert, Mumtaz Hussain, Nikita Shulga +1
We consider approximation properties of real points by uniformly distributed sequences. Under some assumptions on the approximation functions, we prove a Khintchine-type - di…
math.NT2025
Weighted approximation for limsup sets
Gerardo González Robert, Mumtaz Hussain, Nikita Shulga +1
Theorems of Khintchine, Groshev, JarnÃk, and Besicovitch in Diophantine approximation are fundamental results on the metric properties of -well approximable sets. These founda…