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For a sequence s = (s 1 ,. .. , s n) of positive integers, an s-lecture hall partition is an integer sequence λ satisfying 0 ≤ λ 1 /s 1 ≤ λ 2 /s 2 ≤. .. ≤ λ n /s n. In this work, we introduce s-lecture hall polytopes, s-inversion sequences, and relevant statistics on both families. We show that for any sequence s of positive integers: (i) the h *-vector of(More)
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