English

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

Number Theory 2024-08-02 v2 Complex Variables

Abstract

In this paper, we give a form of refined Roth's theorem. As an application, we prove a special case of the abcabc-conjecture.

Keywords

Cite

@article{arxiv.2407.18406,
  title  = {A form of refined Roth's theorem and its application to the $abc$-conjecture},
  author = {Pei-Chu Hu and Bao Qin Li},
  journal= {arXiv preprint arXiv:2407.18406},
  year   = {2024}
}

Comments

There is an error in Theorem 1.6