A form of refined Roth's theorem and its application to the $abc$-conjecture

Fuente: arXiv
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Main Authors: Hu, Pei-Chu, Li, Bao Qin
Format: Preprint
Published: 2024
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author Hu, Pei-Chu
Li, Bao Qin
author_facet Hu, Pei-Chu
Li, Bao Qin
contents In this paper, we give a form of refined Roth's theorem. As an application, we prove a special case of the $abc$-conjecture.
format Preprint
id arxiv_https___arxiv_org_abs_2407_18406
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A form of refined Roth's theorem and its application to the $abc$-conjecture
Hu, Pei-Chu
Li, Bao Qin
Number Theory
Complex Variables
11A41, 11E95
In this paper, we give a form of refined Roth's theorem. As an application, we prove a special case of the $abc$-conjecture.
title A form of refined Roth's theorem and its application to the $abc$-conjecture
topic Number Theory
Complex Variables
11A41, 11E95
url https://arxiv.org/abs/2407.18406