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arXiv · 1512.04168

Polynomiality of shifted Plancherel averages and content evaluations

Sho Matsumoto
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Abstract

The shifted Plancherel measure is a natural probability measure on strict partitions. We prove a polynomiality property for the averages of the shifted Plancherel measure. As an application, we give alternative proofs of some content evaluation formulas, obtained by Han and Xiong very recently. Our main tool is factorial Schur $Q$-functions.

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Sho Matsumoto. 2016-10-31. Polynomiality of shifted Plancherel averages and content evaluations. https://doi.org/10.5802/ambp.364

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