Furstenberg set problem and exceptional set estimate in prime fields: dimension two implies higher dimensions
Classical Analysis and ODEs
2025-09-30 v2 Combinatorics
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.
Keywords
Cite
@article{arxiv.2409.11637,
title = {Furstenberg set problem and exceptional set estimate in prime fields: dimension two implies higher dimensions},
author = {Shengwen Gan},
journal= {arXiv preprint arXiv:2409.11637},
year = {2025}
}
Comments
55 pages, to appear in Discrete Analysis