Erin Y. Y. Shen

activity

20122026

most citedk-Marked Dyson Symbols and Congruences for Moments of Cranks

1 citations · 1 across the 4 of their papers we have counts for

collaborators

6 papers

math.CO2026

Modular Nahm sums for symmetrizable matrices of indices $(2, \dots, 2, 1)$ and $(1, \dots, 1, 2)$

Julia Q. D. Du, Kathy Q. Ji, Erin Y. Y. Shen +1

In this paper, we present three families of modular Nahm sums for symmetrizable matrices with arbitrary rank $r \geq 2$ of indices $(2, \dots, 2, 1)$ and $(1, \dots, 1, 2)$ . Speci…

math.CO2021

A crank for bipartitions with designated summands

R. X. J. Hao, E. Y. Y. Shen

Andrews, Lewis and Lovejoy introduced the partition function $P D (n)$ as the number of partitions of $n$ with designated summands. A bipartition of $n$ is an ordered pair of partiti…

math.CO2020

A rank of partitions with overline designated summands

Robert. X. J. Hao, Erin Y. Y. Shen, Wenston J. T. Zang

Andrews, Lewis and Lovejoy introduced the partition function $P D (n)$ as the number of partitions of $n$ with designated summands. In a recent work, Lin studied a partition function…

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.CO2012

On the Number of Partitions with Designated Summands

William Y. C. Chen, Kathy Q. Ji, Hai-Tao Jin +1

Andrews, Lewis and Lovejoy introduced the partition function PD(n) as the number of partitions of $n$ with designated summands, where we assume that among parts with equal size, ex…