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arXiv · 2402.16625

Symmetric functions and the explicit moment problem for abelian groups

Roger Van Peski
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Abstract

Recently, Sawin and Wood (arXiv:math/2210.06279) proved a formula for the distribution of a random abelian group $G$ in terms of its $H$-moments $\mathbb{E} [\#\operatorname{Sur}(G,H)]$. We show that properties of Macdonald polynomials yield an alternate proof.

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Roger Van Peski. 2026-01-13. Symmetric functions and the explicit moment problem for abelian groups. https://arxiv.org/abs/2402.16625

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