G. Mukherjee

collaborators

2 papers

math.NT2025

Asymptotics of the shifted finite differences of the overpatition function and a problem of Wang--Xie--Zhang

Gargi Mukherjee

Let $p (n)$ denote the overpartition function, and for $j \in N$ , $Δ_{j}^{r}$ denote the $r$ -fold applications of the shifted difference operator $Δ_{j}$ defined by $Δ_…

math.NT2024

Asymptotic Growth of $(- 1)^{r} Δ^{r} lo g n p (n) / n^{α}$ and the Reverse Higher Order Turán Inequalities for $n p (n) / n^{α}$

Gargi Mukherjee

Let $p (n)$ denote the overpartition function. In this paper, we study the asymptotic growth of finite difference of logarithm of $n p (n) / n^{α}$ for $α$ …

Asymptotics of the shifted finite differences of the overpatition function and a problem of Wang--Xie--Zhang

Asymptotic Growth of (−1)rΔrlognp​(n)/nα​ and the Reverse Higher Order Turán Inequalities for np​(n)/nα​

Asymptotic Growth of $(- 1)^{r} Δ^{r} lo g n p (n) / n^{α}$ and the Reverse Higher Order Turán Inequalities for $n p (n) / n^{α}$