On the squarefree values of $a^4+b^3$

Gian Cordana Sanjaya, Xiaoheng Wang

In this article, we prove that the density of integers $a,b$ such that $a^4+b^3$ is squarefree, when ordered by $\max \{|a{|}^{1/3},|b{|}^{1/4}\}$, equals the conjectured product of th…