3 papers
math.NT2026
The Cartesian product of exact approximation sets
Jing Guo, Mumtaz Hussain, Bixuan Li +1
We determine the Hausdorff and packing dimensions of Cartesian products of one-dimensional exact approximation sets. Our main result establishes the exact-approximation counterpart…
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
A note on limsup sets of annuli
Mumtaz Hussain, Benjamin Ward
We consider the set of points in infinitely many max-norm annuli centred at rational points in . We give Jarník-Besicovitch type theorems for this set in terms of Ha…