Turán inequalities for the broken $k$-diamond partition function

Janet J. W. Dong, Kathy Q. Ji, Dennis X. Q. Jia

We obtain an asymptotic formula for Andrews and Paule's broken $k$-diamond partition function ${\Delta }_k(n)$ where $k=1$ or $2$. Based on this asymptotic formula, we derive that ${\Delta }_k(n)$…