2 papers
math.NT2024
Non-Salem sets in multiplicative Diophantine approximation
Bo Tan, Qing-Long Zhou
In this paper, we answer a question of Cai-Hambrook in (arXiv 2403.19410). Furthermore, we compute the Fourier dimension of the multiplicative -well approximable set $$M…
math.NT2024
Quantitative Diophantine approximation and Fourier dimension of sets: Dirichlet non-improvable numbers versus well-approximable numbers
Bo Tan, Qing-Long Zhou
Let be a set that supports a probability measure with the property that for some constant Let $\mathcal{A}=(q_n)_{n\…