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- W3012153647 abstract "We propose a unified approach to prove general formulas for the joint distribution of an Eulerian and a Mahonian statistic over a set of colored permutations by specializing Poirier's colored quasisymmetric functions. We apply this method to derive formulas for Euler-Mahonian distributions on colored permutations, derangements and involutions. A number of known formulas are recovered as special cases of our results, including formulas of Biagioli-Zeng, Assaf, Haglund-Loehr-Remmel, Chow-Mansour, Biagioli-Caselli, Bagno-Biagioli, Faliharimalala-Zeng. Several new results are also obtained. For instance, a two-parameter flag major index on signed permutations is introduced and formulas for its distribution and its joint distribution with some Eulerian partners are proven." @default.
- W3012153647 created "2020-03-23" @default.
- W3012153647 creator A5064991539 @default.
- W3012153647 date "2020-03-17" @default.
- W3012153647 modified "2023-09-27" @default.
- W3012153647 title "Specializations of colored quasisymmetric functions and Euler-Mahonian identities." @default.
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