Rademacher-type formula and higher order Turán inequalities for $\ell$-regular overpartitions

Priyanka Dey, Ajit Singh, Gurinder Singh

For $\ell \ge 2$, let ${\overline{A}}_{\ell }(n)$ count the number of overpartitions of $n$ with no parts divisible by $\ell$. In this article, we employ the circle method to derive a R…