Séminaire Lotharingien de Combinatoire, B58a (2007), 17 pp.
Dominique Foata and Guo-Niu Han
Decreases and Descents in Words
The generating function for words by a
multivariable statistic involving decrease, increase, descent and
rise values is explicitly calculated by using the MacMahon Master Theorem
and the properties of the first fundamental transformation on words.
Applications to statistical study of the
symmetric group are also given.
Received: September 21, 2007.
Accepted: October 19, 2007.
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