Helen W. J. Zhang

activity

20182023

most citedThe Unimodality of the Crank on Overpartitions

3 citations · 3 across the 8 of their papers we have counts for

collaborators

Showing math.NTShow all

3 papers · 1 filter

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

Congruences for modular forms and applications to crank functions

Hao Zhang, Helen W. J. Zhang

In this paper, motivated by the work of Mahlburg, we find congruences for a large class of modular forms. Moreover, we generalize the generating function of the Andrews-Garvan-Dyso…

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

Congruences for modular forms and applications to crank functions

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

Inequalities for the $k$ -Regular Overpartitions