A note on the center of the super Yangian $Y_{M\mathrm{\mid }N}(\mathfrak{s})$

Let $Y_{M\mathrm{\mid }N}(\mathfrak{s})$ be the super Yangian associated with an arbitrary fixed $0^M{1}^N$-sequence $\mathfrak{s}$. In the present paper, we give a new formula for the quantum Berezinian by using the parabolic generators, which generalizes the usual expression in terms of RTT generators or Drinfeld generators.