Classifying descents according to parity

Kitaev, Sergey and Remmel, Jeffrey (2007) Classifying descents according to parity. Annals of Combinatorics, 11 (2). pp. 173-193. ISSN 0218-0006 (https://doi.org/10.1007/s00026-007-0313-2)

Abstract

In this paper we refine the well-known permutation statistic “descent” by fixing parity of (exactly) one of the descent’s numbers. We provide explicit formulas for the distribution of these (four) new statistics. We use certain differential operators to obtain the formulas. Moreover, we discuss connection of our new statistics to the Genocchi numbers. We also provide bijective proofs of some of our results.

ORCID iDs

Kitaev, Sergey ORCID: https://orcid.org/0000-0003-3324-1647

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• Item metadata

  Item type:	Article
  ID code:	49824
  Dates:	Date Event 1 August 2007 Published
  Subjects:	Science > Mathematics > Electronic computers. Computer science
  Department:	Faculty of Science > Computer and Information Sciences
  Depositing user:	Pure Administrator
  Date deposited:	15 Oct 2014 10:05
  Last modified:	11 Nov 2024 10:48
  Related URLs:	https://personal.cis.strath.ac.uk/sergey...
  URI:	https://strathprints.strath.ac.uk/id/eprint/49824