Eve Y. Y. Yang

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math.CO2023

Laguerre inequalities and determinantal inequalities for the finite difference of the partition functions

Eve Y. Y. Yang

The paper aims to establish the Turán inequalities, the Laguerre inequalities (order $2$ ), and the determinantal inequalities (order $3$ ) for $Δ p (n)$ and $Δ p ˉ (n)$ , where $Δf(n…

math.CO2023

Laguerre inequality and determinantal inequality for the broken $k$ -diamond partition function

Eve Y. Y. Yang

In 2007, Andrews and Paule introduced the broken $k$ -diamond partition function $Δ_{k} (n)$ , which has received a lot of researches on the arithmetic propertises. In this paper, we…

Laguerre inequalities and determinantal inequalities for the finite difference of the partition functions

Laguerre inequality and determinantal inequality for the broken k-diamond partition function

Laguerre inequality and determinantal inequality for the broken $k$ -diamond partition function