1 citations · 1 across the 8 of their papers we have counts for
8 papers
A MacMahon Analysis View of 4 Diagonal DSPPs
Runqiao Li, Ali K. Uncu
We study skew double-shifted plane partitions with three-element profiles using MacMahon's partition analysis. We present new generating function formulas for these partitions, inc…
Separable integer partition classes and Slater's list -- II
Aritram Dhar, Ankush Goswami, Runqiao Li
Slater's list of Rogers-Ramanujan type identities remains a central source of striking series-product formulas in the theory of partitions and basic hypergeometric series. Although…
Weighted partitions with interval restrictions: exact formulas and a bivariate master identity
George E. Andrews, Mohamed El Bachraoui, Aritram Dhar +2
Let and be the signed partition functions introduced by Andrews and El Bachraoui for interval-restricted partitions whose parts greater than are controlle…
Separable integer partition classes and Slater's list -- I
Aritram Dhar, Ankush Goswami, Runqiao Li
Slater's list of Rogers-Ramanujan type identities consists of 130 series-product identities whose analytic proofs rely primarily on Bailey pair techniques. Although these identitie…
SIP classes and four-parameter partition identities
Runqiao Li
The four-parameter weight of partitions played an important role in the theory of integer partitions, for its connection with various statistics, including the alternating sum and…
Partition analysis and the little Göllnitz identites
Runqiao Li
This work follows the spirit of Andrews' series of papers on Partition Analysis. In , Savage and Sills found new sum sides for the little Göllnitz identities and provided the…
A MacMahon Analysis View of Cylindric Partitions
Runqiao Li, Ali K. Uncu
We study cylindric partitions with two-element profiles using MacMahon's partition analysis. We find explicit formulas for the generating functions of the number of cylindric parti…
Distribution of Alternating Sums of Parts in Partitions
William Craig, Runqiao Li
Recently, many authors have investigated how various partition statistics distribute as the size of the partition grows. In this work, we look at a particular statistic arising fro…