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math.CO2004
Euler-Mahonian polynomials for C_a \wr S_n
Dan Bernstein
In a recent paper, Regev and Roichman introduced the <_L order and the L-descent number statistic, des_L, on the group of colored permutations, C_a \wr S_n. Here we define the L-re…
math.CO2004
MacMahon-type Identities for Signed Even Permutations
Dan Bernstein
MacMahon's classic theorem states that the 'length' and 'major index' statistics are equidistributed on the symmetric group S_n. By defining natural analogues or generalizations of…