Polynomiality of shifted Plancherel averages and content evaluations
Combinatorics
2019-02-26 v3
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 -functions.
Keywords
Cite
@article{arxiv.1512.04168,
title = {Polynomiality of shifted Plancherel averages and content evaluations},
author = {Sho Matsumoto},
journal= {arXiv preprint arXiv:1512.04168},
year = {2019}
}
Comments
23 pages