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arXiv · 1511.02829

New hook-content formulas for strict partitions

Guo-Niu Han·Huan Xiong
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Abstract

We introduce the difference operator for functions defined on strict partitions and prove a polynomiality property for a summation involving the hook length and content statistics. As an application, several new hook-content formulas for strict partitions are derived.

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Guo-Niu Han, Huan Xiong. 2016-12-13. New hook-content formulas for strict partitions. https://arxiv.org/abs/1511.02829

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