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High Energy Physics - Theory
Title: Averaging method in combinatorics of symmetric polynomials
(Submitted on 12 Feb 2023 (v1), last revised 30 Jun 2023 (this version, v2))
Abstract: We elaborate on the recent suggestion to consider averaging of Cauchy identities for the Schur functions over power sum variables. This procedure has apparent parallels with the Borel transform, only it changes the number of combinatorial factors like $d_R$ in the sums over Young diagrams instead of just factorials in ordinary sums over numbers. It provides a universal view on a number of previously known, but seemingly random identities.
Submission history
From: Andrei Mironov [view email][v1] Sun, 12 Feb 2023 12:52:48 GMT (16kb,D)
[v2] Fri, 30 Jun 2023 07:22:00 GMT (18kb,D)
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