The combinatorics of k-marked Durfee symbols

Details The combinatorics of k-marked Durfee symbols The combinatorics of k-marked Durfee symbols

2008-06-16

arxiv.org/abs/0806.2599v1

Mathematics

Combinatorics

21 pages

Scientific paper

Andrews recently introduced k-marked Durfee symbols which are connected to moments of Dyson's rank. By these connections, Andrews deduced their generating functions and some combinatorial properties and left their purely combinatorial proofs as open problems. The primary goal of this article is to provide combinatorial proofs in answer to Andrews' request. We obtain a relation between k-marked Durfee symbols and Durfee symbols by constructing bijections, and all identities on k-marked Durfee symbols given by Andrews could follow from this relation. In a similar manner, we also prove the identities due to Andrews on k-marked odd Durfee symbols combinatorially, which resemble ordinary k-marked Durfee symbols with a modified subscript and with odd numbers as entries.

Affiliated with

Also associated with

No associations

Rating

The combinatorics of k-marked Durfee symbols does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The combinatorics of k-marked Durfee symbols, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The combinatorics of k-marked Durfee symbols will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-92129