The Arithmetic of Elliptic Curves
《The Arithmetic of Elliptic Curves》 · 第 258 页 · Chapter VIII,Section 11「Szpiro's Conjecture and ABC」,Conjecture 11.4
Szpiro’s conjecture is closely related to the ABC conjecture that was proposed by Masser and Oesterlé in 1985. The ABC Conjecture 11.4. (Masser–Oesterlé) For every $\epsilon>0$ there exists a constant $\kappa_\epsilon$ such that for all nonzero integers $A,B,C\in\mathbb Z$ satisfying $A+B=C$ and $\gcd(A,B,C)=1$, we have $\max\{|A|,|B|,|C|\}\leq\kappa_\epsilon\left(\prod_{p\mid ABC}p\right)^{1+\epsilon}$.