Tianjin Foreign Studies University

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20132025

most citedHeat conductivity and Dufour effects in the weakly ionized, magnetized and kappa-distributed plasma

4 citations

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6 papers · 1 filter

math.CO2017

Overpartitions Identities Involving Gaps and Weights

Jeremy J. F. Guo, Doris D. M. Sang, Diane Y. H. Shi

In this paper, we find an identity which connects the overpartition function and the function of Rogers--Ramanujan--Gordon type overpartitions by considering the weights and gaps.…

math.CO2015

Congruences on the Number of Restricted $m$ -ary Partitions

Qing-Hu Hou, Hai-Tao Jin, Yan-Ping Mu +1

Andrews, Brietzke, Rødseth and Sellers proved an infinite family of congruences on the number of the restricted $m$ -ary partitions when $m$ is a prime. In this note, we show that t…

math.CO2015

Automated Discovery and Proof of Congruence Theorems for Partial Sums of Combinatorial Sequences

William Y. C. Chen, Qing-Hu Hou, Doron Zeilberger

Many combinatorial sequences (for example, the Catalan and Motzkin numbers) may be expressed as the constant term of $P (x)^{k} Q (x)$ , for some Laurent polynomials $P (x)$ and $Q (x)$ i…

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

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…