Integral Points Close to Smooth Plane Curves

Fuente: arXiv
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Autor principal: Zhao, ZiAn
Formato: Preprint
Publicado: 2024
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author Zhao, ZiAn
author_facet Zhao, ZiAn
contents 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 Bordellès. Along the way we correct an oversight in the proof, changing some of the explicit values of the constants in the theorem.
format Preprint
id arxiv_https___arxiv_org_abs_2407_01778
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Integral Points Close to Smooth Plane Curves
Zhao, ZiAn
Number Theory
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 Bordellès. Along the way we correct an oversight in the proof, changing some of the explicit values of the constants in the theorem.
title Integral Points Close to Smooth Plane Curves
topic Number Theory
url https://arxiv.org/abs/2407.01778