Ying Zhong

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math.NT2023

Inequalities for the $k$ -Regular Overpartitions

Yi Peng, Helen W. J. Zhang, Ying Zhong

Bessenrodt and Ono, Chen, Wang and Jia, DeSalvo and Pak were the first to discover the log-subadditivity, log-concavity, and the third-order Turán inequality of partition function,…

math.NT2022

Higher order log-concavity of the overpartition function and its consequences

Gargi Mukherjee, Helen W. J. Zhang, Ying Zhong

Let $p ˉ (n)$ denote the overpartition function. In this paper, we study the asymptotic higher order $lo g$ -concavity property of the overpatition function in a similar framewor…

Inequalities for the k-Regular Overpartitions

Higher order log-concavity of the overpartition function and its consequences

Inequalities for the $k$ -Regular Overpartitions