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math.CO2019

A positive combinatorial formula for symplectic Kostka-Foulkes polynomials I: Rows

Maciej Dołęga, Thomas Gerber, Jacinta Torres

We prove a conjecture of Lecouvey, which proposes a closed, positive combinatorial formula for symplectic Kostka-Foulkes polynomials, in the case of rows of arbitrary weight. To sh…