On core and bar-core partitions

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

If s and t are relatively prime integers, J.B. Olsson proved in (J. Comb.Theory, Ser. A 116:733–740, 2009) that the s-core of a t-core partition is again a t-core partition, and that the s-bar-core of a t-bar-core partition is again a t-bar-core partition. Here generalised results are proved for partitions and bar partitions when the restriction that s and t be relatively prime is removed.
Original languageEnglish
Pages (from-to)229-233
Number of pages5
JournalThe Ramanujan Journal
Volume27
Issue number2
Early online date20 Aug 2011
DOIs
Publication statusPublished - Feb 2012

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Partition
Relatively prime
Restriction
Integer

Keywords

  • partitions
  • bar partitions
  • core
  • bar-core

Cite this

On core and bar-core partitions. / Gramain, Jean-Baptiste; Nath, Rishi.

In: The Ramanujan Journal, Vol. 27, No. 2, 02.2012, p. 229-233.

Research output: Contribution to journalArticle

Gramain, Jean-Baptiste ; Nath, Rishi. / On core and bar-core partitions. In: The Ramanujan Journal. 2012 ; Vol. 27, No. 2. pp. 229-233.
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