Symmetric functions and the explicit moment problem for abelian groups
arXiv:2402.16625
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.
v1: 12 pages. First version, comments welcome! v2: minor updates in response to referee comments. Published version, appears in Proc. AMS