Abc 予想における最近の下位クロール
[Submitted on 26 Jan 2023] Download PDF Abstract: We prove that there exist infinitely many coprime numbers $a$, $b$, $c$ with $a+b=c$ and $c>operatorname{rad}(abc)exp(6.563sqrt{log c}/loglog c)$. These are the most extremal examples currently known in the $abc$ conjecture, thereby providing a new lower bound on the tightest possible form of the conjecture. This builds on…