Name
Abstract | ||
|---|---|---|
Successive ranks of a partition, which were introduced by Atkin, are the difference of the lengths of the i-th row and the i-th column in the Ferrers graph. Recently, in the study of singular overpartitions, Andrews revisited successive ranks and parity blocks. Motivated by his work, we investigate partitions with prescribed successive rank parity blocks. The main result of this paper is the generating function of partitions with exactly d successive ranks and m parity blocks. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.jcta.2018.03.004 | Journal of Combinatorial Theory, Series A |
Keywords | Field | DocType |
Partitions,Frobenius symbols,Singular overpartitions,Successive ranks,Dyck paths,Poset-partitions | Graph,Discrete mathematics,Generating function,Combinatorics,Enumeration,Parity (mathematics),Partition (number theory),Mathematics | Journal |
Volume | ISSN | Citations |
158 | 0097-3165 | 0 |
PageRank | References | Authors |
0.34 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Seunghyun Seo | 1 | 167 | 19.88 |
| Ae Ja Yee | 2 | 44 | 12.38 |