Block inclusions and cores of partitions

Jørn B. Olsson, Dennis Stanton

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


Necessary and sufficient conditions are given for an s-block of integer partitions to be contained in a t-block. The generating function for such partitions is found analytically, and also bijectively, using the notion of an (s, t)-abacus. The largest partition which is both an s-core and a t-core is explicitly given.

Original languageEnglish (US)
Pages (from-to)90-110
Number of pages21
JournalAequationes Mathematicae
Issue number1-2
StatePublished - Sep 2007

Bibliographical note

Funding Information:
The first author was supported by the Danish National Research Council. was supported by NSF grant DMS-0503660.

Copyright 2007 Elsevier B.V., All rights reserved.


  • Blocks of partitions
  • Characters
  • Cores

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