The Double Eulerian Polynomial and Inversion Tables
classification
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keywords
doubleeulerianinversionpairpolynomialstatisticstablescommon
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We show that the pair (des, ides) of statistics on the set of permu- tations has the same distribution as the pair (asc, row) of statistics on the set of inversion tables, proving a conjecture of Visontai. The common generating function of these pairs is the double Eulerian polynomial.
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