Article
On partitions with k corners not containing the staircase with one more corner
Author/s | Briand, Emmanuel |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2020 |
Deposit Date | 2021-05-24 |
Published in |
|
Abstract | We give three proofs of the following result conjectured by Carriegos, De Castro-Garc\'ıa and Muñoz Castañeda in their work on enumeration of control systems: when (k+12)≤n<(k+22), there are as many partitions of n with k ... We give three proofs of the following result conjectured by Carriegos, De Castro-Garc\'ıa and Muñoz Castañeda in their work on enumeration of control systems: when (k+12)≤n<(k+22), there are as many partitions of n with k corners as pairs of partitions (α,β) such that (k+12)+|α|+|β|=n. |
Funding agencies | Ministerio de Economía y Competitividad (MINECO). España Junta de Andalucía |
Project ID. | MTM2016-75024-P
FQM333 |
Citation | Briand, E. (2020). On partitions with k corners not containing the staircase with one more corner. ArXiv.org, arXiv:2004.13180 |
Files | Size | Format | View | Description |
---|---|---|---|---|
On partitions with corners not ... | 280.7Kb | [PDF] | View/ | |