The Catalan Case of Armstrong's Conjecture on Simultaneous Core Partitions
A beautiful recent conjecture of Armstrong predicts the average size of a partition that is simultaneously an s-core and a t-core, where s and t are coprime. Our goal is to prove this conjecture when t = s + 1. These simultaneous (s, s + 1)-core partitions, which are enumerated by Catalan numbers,...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Society for Industrial and Applied Mathematics
2017
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| Online Access: | http://hdl.handle.net/1721.1/106353 https://orcid.org/0000-0003-3123-8241 |