On core and bar-core partitions |
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| Authors: | Jean-Baptiste Gramain Rishi Nath |
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| Affiliation: | 1. Institut de Math??matiques de Jussieu, Universit?? Denis Diderot, Paris VII, UFR de Math??matiques, 2 place Jussieu, 75251, Paris Cedex 05, France
2. Department of Mathematics and Computer Science, York College, City University of New York, 94-20 Guy R. Brewer Blvd, Jamaica, NY, 11418, USA
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| 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. |
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