3 papers
math.DS2026
Khintchin conjecture and related topics
Aihua Fan, Shilei Fan, Hervé Queffélec +1
Motivated by Khintchin's 1923 conjecture, refuted by Marstrand in 1970, we study the Khintchin class of functions associated to a given increasing sequence of integers. When the Kh…
math.NT2025
Non-Archimedean Koksma Theorems and Dimensions of Exceptional Sets
Aihua Fan, Shilei Fan, Hanfei Ye
We establish a non-Archimedean analogue of Koksma's theorem. For a local field F of characteristic zero, we prove that the sequence ([αx^n]) is uniformly distributed in the valuat…
math.CA2025
Exponential Riesz bases in non-Archimedean locally compact Abelian groups
Aihua Fan, Shilei Fan
This paper establishes two fundamental results on the existence of exponential Riesz basis in non-Archimedean locally compact Abelian groups: the existence of Riesz basis of expone…