New Euler–Mahonian Statistics on Permuta
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Robert J Clarke; Einar Steingrı́msson; Jiang Zeng
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Article
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1997
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Elsevier Science
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English
⚖ 338 KB
We define new Mahonian statistics, called MAD, MAK, and ENV, on words. Of these, ENV is shown to equal the classical INV, that is, the number of inversions, while for permutations MAK has been already defined by Foata and Zeilberger. It Ž . Ž . is shown that the triple statistics des, MAK, MAD and e