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arxiv: 1612.04260 · v1 · pith:AQLQYSQTnew · submitted 2016-12-13 · 🧮 math.CO

A Rational Catalan Formula for (m,3)-Hikita Polynomials

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keywords polynomialsformulahikitacatalanbuildingcoefficientsdeeperdescribe
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Building upon a recent formula for $(3,m)$-Catalan polynomials, we describe a formula for $(3,m)$-Hikita polynomials in terms related to Catalan polynomials. This formula shows a surprising relation among coefficients of Hikita polynomials and implies deeper recursive relations and proves the $q,t$-symmetry of $(3,m)$-Hikita polynomials.

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