Simultaneous Core Partitions: Parameterizations and Sums
Fix coprime s; t > 1. We re-prove, without Ehrhart reciprocity, a conjecture of Armstrong (recently verified by Johnson) that the definitely many simultaneous (s; t)- cores have average size 1 24 (s - 1)(t - 1)(s+t+1), and that the subset of self-conjugate cores has the same average (first shown...
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| Format: | Article |
| Language: | en_US |
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European Mathematical Information Service (EMIS)
2016
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| Online Access: | http://hdl.handle.net/1721.1/103038 |