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

Authors :
Hu, Pei-Chu
Li, Bao Qin
Publication Year :
2024

Abstract

In this paper, we give a form of refined Roth's theorem. As an application, we prove a special case of the $abc$-conjecture.<br />Comment: There is an error in Theorem 1.6

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2407.18406
Document Type :
Working Paper