Unimodality of generalized Gaussian coefficients
Anatol N. Kirillov
TL;DR
This paper provides a combinatorial proof demonstrating the unimodality of generalized q-Gaussian coefficients using explicit formulas for Kostka-Foulkes polynomials.
Contribution
It introduces a new combinatorial proof for the unimodality of generalized Gaussian coefficients leveraging Kostka-Foulkes polynomial formulas.
Findings
Confirmed unimodality of generalized q-Gaussian coefficients
Connected combinatorial properties with Kostka-Foulkes polynomials
Provided explicit formulas supporting the proof
Abstract
A combinatorial proof of the unimodality of the generalized q-Gaussian coefficients based on the explicit formula for Kostka-Foulkes polynomials is given.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Mathematical Identities · Mathematical functions and polynomials