𝔖 Bobbio Scriptorium
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Counting permutations by congruence class of major index

✍ Scribed by Hélène Barcelo; Bruce E. Sagan; Sheila Sundaram


Book ID
108047109
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
152 KB
Volume
39
Category
Article
ISSN
0196-8858

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


The major index polynomial for conjugacy
✍ Michelle L. Wachs 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 628 KB

Garsia (1988) gives a remarkably simple expression for the major index enumerator for permutations of a fixed cycle type evaluated at a primitive root of unity. He asks for a direct combinatorial proof of this identity. Here we give such a combinatorial derivation.