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A new derivation of the generating function for the major index

✍ Scribed by Sumanta Guha; Sriram Padmanabhan

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
244 KB
Volume
81
Category
Article
ISSN
0012-365X

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✦ Synopsis

We present a new proof of the well-known combinatorial result ['&!I, = C, qMa'("') where w is a permutation of O"lnmk, by showing a bijection between the set of partitions of an integer m that fit in a k x n -k rectangle and the set consisting of all permutations w of O'l"-' having Maj(w) = m.

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