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arxiv: 1610.07561 · v2 · pith:L4FWIGZJnew · submitted 2016-10-24 · 🧮 math.CO

Asymptotics of the number of standard Young tableaux of skew shape

classification 🧮 math.CO
keywords boundsnumbershapeskewstandardtableauxyoungapproach
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We give new bounds and asymptotic estimates on the number of standard Young tableaux of skew shape in a variety of special cases. Our approach is based on Naruse's hook-length formula. We also compare our bounds with the existing bounds on the numbers of linear extensions of the corresponding posets.

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