K. Ji

activity

20052023

most citedUnimodality of the Andrews-Garvan-Dyson cranks of partitions

7 citations · 14 across the 23 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.CO2022

Turán inequalities for the broken $k$ -diamond partition function

Janet J. W. Dong, Kathy Q. Ji, Dennis X. Q. Jia

We obtain an asymptotic formula for Andrews and Paule's broken $k$ -diamond partition function $Δ_{k} (n)$ where $k = 1$ or $2$ . Based on this asymptotic formula, we derive that $Δ_{k} (n)$ …

math.CO2022★ 1 cited

A Cyclic Analogue of Stanley's Shuffle Theorem

Kathy Q. Ji, Dax T. X. Zhang

We introduce the cyclic major index of a cycle permutation and give a bivariate analogue of enumerative formula for the cyclic shuffles with a given cyclic descent numbers due to A…

math.CO2022★ 2 cited

Some Refinements of Stanley's Shuffle Theorem

Kathy Q. Ji, Dax T. X. Zhang

We first give a combinatorial proof of Stanley's shuffle theorem by using the insertion lemma of Haglund, Loehr and Remmel. Based on this combinatorial construction, we establish s…

Turán inequalities for the broken k-diamond partition function

A Cyclic Analogue of Stanley's Shuffle Theorem

Some Refinements of Stanley's Shuffle Theorem

Turán inequalities for the broken $k$ -diamond partition function