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 language | English |
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Pages (from-to) | 229-233 |
Number of pages | 5 |
Journal | The Ramanujan Journal |
Volume | 27 |
Issue number | 2 |
Early online date | 20 Aug 2011 |
DOIs | |
Publication status | Published - Feb 2012 |
Keywords
- partitions
- bar partitions
- core
- bar-core