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 2013 · math.COShow all

4 papers · 2 filters

math.CO2013★ 1 cited

k-Marked Dyson Symbols and Congruences for Moments of Cranks

William Y. C. Chen, Kathy Q. Ji, Erin Y. Y. Shen

By introducing $k$ -marked Durfee symbols, Andrews found a combinatorial interpretation of $2 k$ -th symmetrized moment $η_{2 k} (n)$ of ranks of partitions of $n$ . Recently, Garvan int…

math.CO2013

On the Positive Moments of Ranks of Partitions

William Y. C. Chen, Kathy Q. Ji, Erin Y. Y. Shen

By introducing $k$ -marked Durfee symbols, Andrews found a combinatorial interpretation of $2 k$ -th symmetrized moment $η_{2 k} (n)$ of ranks of partitions of $n$ in terms of $(k + 1)$ -m…

math.CO2013

The spt-Crank for Ordinary Partitions

William Y. C. Chen, Kathy Q. Ji, Wenston J. T. Zang

The spt-function $s pt (n)$ was introduced by Andrews as the weighted counting of partitions of $n$ with respect to the number of occurrences of the smallest part. Andrews, Garvan an…

math.CO2013

Proof of the Andrews-Dyson-Rhoades Conjecture on the spt-Crank

William Y. C. Chen, Kathy Q. Ji, Wenston J. T. Zang

The notion of the spt-crank of a vector partition, or an $S$ -partition, was introduced by Andrews, Garvan and Liang. Let $N_{S} (m, n)$ denote the number of $S$ -partitions of $n$ with…