  In this note, we generalize the notion of quantum Berezinian to the double
Yangian ${\rm DY}(\mathfrak{gl}_{m|n})$ of the Lie superalgebra
$\mathfrak{gl}_{m|n}$. We show that its coefficients form a family of
algebraically independent topological generators of the center of ${\rm
DY}(\mathfrak{gl}_{m|n})$.
