A short proof of a result of Foata and Zeilberger
type: Item
instance of: scholarly article
title: A short proof of a result of Foata and Zeilberger
zbMATH Open document ID: 0838.05001
author: Yanyan Li
published in: Advances in Applied Mathematics
publication date: 1996-05-30T00:00:00Z
review text: Let \(n\) be a positive integer and denote by \(S_n\) the set of all permutations \(\pi\) on the \(n\) symbols \(1,2,\dots, n\). Consider the \(\text{den } \pi\) and \(\text{bis }\pi\) statistics on \(S_n\). In 1990 D. Foata and D. Zeilberger proved the theorem \(\text{den } \pi= \text{den bis }\pi\). In this paper the author provides a straightforward proof of this theorem.
Mathematics Subject Classification ID: 05A05
zbMATH DE Number: 820040
zbMATH Keywords: permutations
zbMATH Keywords: statistics
reviewed by: B. Leo Raktoe
MaRDI profile type: Publication
full work available at URL: aama.1995.1006
OpenAlex ID: W2466002090
DOI: 10.1006/AAMA.1995.1006
description: scientific article; zbMATH DE number 820040