Published July 1, 2022
| Version v1
Publication
On partitions with K corners not containing the staircase with one more corner
- Creators
- Briand, Emmanuel
- 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-P
Abstract
Ministerio de Ciencia e Innovación PID2020-117843GB-I00
Abstract
Junta de Andalucía US-1262169
Additional details
- URL
- https://idus.us.es/handle//11441/134902
- URN
- urn:oai:idus.us.es:11441/134902
- Origin repository
- USE