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arXiv · 1608.02262

Explicit expressions for the moments of the size of an (s,s+1)-core partition with distinct parts

Anthony Zaleski
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Abstract

For fixed s, the size of an (s, s+1)-core partition with distinct parts can be seen as a random variable X_s. Using computer-assisted methods, we derive formulas for the expectation, variance, and higher moments of X_s. Our results give good evidence that X_s is asymptotically normal.

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Anthony Zaleski. 2016-11-23. Explicit expressions for the moments of the size of an (s,s+1)-core partition with distinct parts. https://doi.org/10.1016/j.aam.2016.10.002

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