MISC

2001年5月

An operator on permutations and its application to Eulerian numbers

EUROPEAN JOURNAL OF COMBINATORICS
  • S Tanimoto

22
4
開始ページ
569
終了ページ
576
記述言語
英語
掲載種別
DOI
10.1006/eujc.2000.0497
出版者・発行元
ACADEMIC PRESS LTD

We introduce an operator on permutations of 1, 2,..., n, which preserves the numbers of their ascents and descents. We investigate periods of permutations under the operator and structures of permutations with given periods. As its application we prove some congruence relations modulo a prime for Eulerian numbers. (C) 2001 Academic Press.

Web of Science ® 被引用回数 : 5

リンク情報
DOI
https://doi.org/10.1006/eujc.2000.0497
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000170861200015&DestApp=WOS_CPL
ID情報
  • DOI : 10.1006/eujc.2000.0497
  • ISSN : 0195-6698
  • Web of Science ID : WOS:000170861200015

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