A note on the center of the queer super Yangian Y(q1)

We investigate two families of central elements of the queer super Yangian Y(q1), arising from the constructions of Poletaeva–Serganova and from Nazarov’s quantum Berezinian. We establish an explicit relation between their generating series, thereby giving an answer to the question raised by M. Nazarov [J. Math. Phys. 63, 081702 (2022)].