Exceptional sets for Diophantine inequalities
Number Theory
2021-10-12 v2
Abstract
We apply Freeman's variant of the Davenport-Heilbronn method to investigate the exceptional set of real numbers not close to some value of a given real diagonal form at an integral argument. Under appropriate conditions, we show that the exceptional set in the interval [-N,N] has measure O(N^{1-c}), for a positive number c.
Keywords
Cite
@article{arxiv.1209.2740,
title = {Exceptional sets for Diophantine inequalities},
author = {Scott T. Parsell and Trevor D. Wooley},
journal= {arXiv preprint arXiv:1209.2740},
year = {2021}
}