On partitions with k corners not containing the staircase with one more corner

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....

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Detalhes bibliográficos
Autor: Briand, Emmanuel
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/109258
Acesso em linha:https://hdl.handle.net/11441/109258
Access Level:acceso abierto
Palavra-chave:Integer partitions
Descrição
Resumo: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.