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math.CO 1

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2024 1

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Lattice Points and Rational $q$-Catalan Numbers

math.CO · 2024-03-10 · unverdicted · novelty 7.0

Introduces Johnson statistics on type A root lattices as a lattice-point model for rational q-Catalan numbers, with computational proof of existence for a ≤ 20 and a q-analogue of Brion's theorem.

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  • Lattice Points and Rational $q$-Catalan Numbers math.CO · 2024-03-10 · unverdicted · none · ref 29

    Introduces Johnson statistics on type A root lattices as a lattice-point model for rational q-Catalan numbers, with computational proof of existence for a ≤ 20 and a q-analogue of Brion's theorem.