Given $f(x_1,\dots,x_n)\in\mathbb Z[x_1,\dots,x_n]$ such that
Each coefficient is bound in absolute value by $B$
Degree of each variable in any monomial is bound by $d$
Total degree is $d'$
$f(x_1,\dots,x_n)$ is irreducible in $\mathbb Z[x_1,\dots,x_n]$
then what is the maximum number integral roots $(y_1,\dots,y_n)\in\mathbb Z^n$ it can have such that in a $\ell$ length cube?