Symmetric functions and the explicit moment problem for abelian groups
Combinatorics
2026-01-14 v2 Number Theory
Probability
Abstract
Recently, Sawin and Wood (arXiv:math/2210.06279) proved a formula for the distribution of a random abelian group in terms of its -moments . We show that properties of Macdonald polynomials yield an alternate proof.
Cite
@article{arxiv.2402.16625,
title = {Symmetric functions and the explicit moment problem for abelian groups},
author = {Roger Van Peski},
journal= {arXiv preprint arXiv:2402.16625},
year = {2026}
}
Comments
v1: 12 pages. First version, comments welcome! v2: minor updates in response to referee comments. Published version, appears in Proc. AMS