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A tableaux formula for $q$-rook numbers

Published 1 Jul 2025 in math.CO and math.RT | (2507.00766v1)

Abstract: We provide a formula for the Garsia-Remmel $q$-rook numbers as a sum over standard Young tableaux. We connect our formula with the coefficients in $q$-Whittaker expansion of unicellular LLT functions.

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