Minor summation formula and a proof of Stanley's open problem

Details Minor summation formula and a proof of Stanley's open problem Minor summation formula and a proof of Stanley's open problem

2004-08-16

arxiv.org/abs/math/0408204v8

Mathematics

Combinatorics

20 pages

Scientific paper

In the open problem session of the FPSAC'03, R.P.Stanley gave an open
problem. The purpose of this paper is to give a proof of this open problem. At
the end of this paper we present certain corollaries involving the Big Schur
functions and some polynomials arising from the Macdonald polynomials, which
generalize Stanley's open problem.

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