Published July 1, 2022
| Version v1
Publication
On partitions with K corners not containing the staircase with one more corner
Creators
Contributors
Others:
- Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
- Universidad de Sevilla. FQM-333: Álgebra Computacional en Anillos no Conmutativos y Aplicaciones
- Ministerio de Ciencia, Innovación y Universidades (MICINN). España
- Ministerio de Ciencia e Innovación (MICIN). España
- Junta de Andalucía
Description
We give three proofs of the following result conjectured by Carriegos, De Castro-García
and Muñoz Castañeda in their work on enumeration of control systems: when (
k+1
2
)
≤
n <
(
k+2
2
)
, there are as many partitions of n with k corners as pairs of partitions (α, β)
such that (
k+1
2
)
+ |α| + |β| = n.
Abstract
Ministerio de Ciencia, Innovación y Universidades MTM2016-75024-PAbstract
Ministerio de Ciencia e Innovación PID2020-117843GB-I00Abstract
Junta de Andalucía US-1262169Additional details
Identifiers
- URL
- https://idus.us.es/handle//11441/134902
- URN
- urn:oai:idus.us.es:11441/134902
Origin repository
- Origin repository
- USE