18 citations · 44 across the 8 of their papers we have counts for
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math.CO2016★ 4 cited
Explicit (Polynomial!) Expressions for the Expectation, Variance and Higher Moments of the Size of a (2n + 1, 2n + 3)-core partition with Distinct Parts
Anthony Zaleski, Doron Zeilberger
Inspired by Armin Straub's conjecture (arXiv:1601.07161) about the number and maximal size of (2n+1, 2n+3)-core partitions with distinct parts, we develop relatively efficient, sym…
math.CO2016★ 18 cited
Explicit expressions for the moments of the size of an (s,s+1)-core partition with distinct parts
Anthony Zaleski
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 expectatio…