Furstenberg set problem and exceptional set estimate in prime fields: dimension two implies higher dimensions
arXiv:2409.11637
Abstract
In this paper, we study in prime fields the exceptional set estimates, which can be viewed as a refinement of Marstrand's orthogonal projection theorem. Additionally, we address a Furstenberg-type problem, which is closely related. It is shown that the two-dimensional result implies all higher-dimensional results in the prime-field setting.
55 pages, to appear in Discrete Analysis