Name
Abstract | ||
|---|---|---|
Partitions without sequences of consecutive integers as parts have been studied recently by many authors, including Andrews, Holroyd, Liggett, and Romik, among others. Their results include a description of combinatorial properties, hypergeometric representations for the generating functions, and asymptotic formulas for the enumeration functions. We complete a similar investigation of partitions into distinct parts without sequences, which are of particular interest due to their relationship with the Rogers-Ramanujan identities. Our main results include a double series representation for the generating function, an asymptotic formula for the enumeration function, and several combinatorial inequalities. |
Year | Venue | Keywords |
|---|---|---|
2015 | ELECTRONIC JOURNAL OF COMBINATORICS | Rogers-Ramanujan,integer partitions,distinct parts |
Field | DocType | Volume |
Discrete mathematics,Generating function,Combinatorics,Asymptotic formula,Hypergeometric distribution,Algebra,Mathematical analysis,Enumeration,Mathematics,Integer sequence | Journal | 22 |
Issue | ISSN | Citations |
3.0 | 1077-8926 | 0 |
PageRank | References | Authors |
0.34 | 2 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kathrin Bringmann | 1 | 3 | 4.87 |
| Karl Mahlburg | 2 | 13 | 5.84 |
| Karthik Nataraj | 3 | 0 | 0.34 |