Integral Points Close to Smooth Plane Curves
Number Theory
2024-07-03 v1
Abstract
This is an exposition of a class of problems and results on the number of integral points close to plane curves. We give a detailed proof of a theorem of Huxley and Sargos, following the account of Bordell\`es. Along the way we correct an oversight in the proof, changing some of the explicit values of the constants in the theorem.
Cite
@article{arxiv.2407.01778,
title = {Integral Points Close to Smooth Plane Curves},
author = {ZiAn Zhao},
journal= {arXiv preprint arXiv:2407.01778},
year = {2024}
}
Comments
This manuscript has 38 pages and is derived from my third year bachelor's dissertation at the University of Warwick