10 citations · 11 across the 7 of their papers we have counts for
10 papers
Linked partition ideals, directed graphs and -multi-summations
Shane Chern
Finding an Andrews--Gordon type generating function identity for a linked partition ideal is difficult in most cases. In this paper, we will handle this problem in the setting of g…
Partitions and the maximal excludant
Shane Chern
For each nonempty integer partition , we define the maximal excludant of to be the largest nonnegative integer smaller than the largest part of that is not a part of …
On the power mean of a sum analogous to the Kloosterman sum
Shane Chern
In this paper, we study the power mean of a sum analogous to the Kloosterman sum by using analytic methods for character sums.
On partitions with even parts below odd parts
Shane Chern
Recently, Andrews gave a detailed study of partitions with even parts below odd parts in which only the largest even part appears an odd number of times. In this paper, we provide…
Congruences for partition functions related to mock theta functions
Shane Chern, Li-Jun Hao
Partitions associated with mock theta functions have received a great deal of attention in the literature. Recently, Choi and Kim derived several partition identities from the thir…
On certain weighted 7-colored partitions
Shane Chern, Dazhao Tang
Inspired by Andrews' 2-colored generalized Frobenius partitions, we consider certain weighted 7-colored partition functions and establish some interesting Ramanujan-type identities…