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Euler–Mahonian Statistics on Ordered Set Partitions

✍ Scribed by Ishikawa, Masao; Kasraoui, Anisse; Zeng, Jiang


Book ID
118196968
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Weight
331 KB
Volume
22
Category
Article
ISSN
0895-4801

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New Euler–Mahonian Statistics on Permuta
✍ Robert J Clarke; Einar Steingrı́msson; Jiang Zeng 📂 Article 📅 1997 🏛 Elsevier Science 🌐 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