On the powers of the descent set statistic

Research output: Contribution to journalArticlepeer-review


We study the sum of the rth powers of the descent set statistic and how many small prime factors occur in these numbers. Our results depend upon the base p expansion of n and r.

Original languageEnglish
Pages (from-to)1-17
Number of pages17
JournalAdvances in Applied Mathematics
StatePublished - May 2018

Bibliographical note

Funding Information:
The authors thank the referee for comments on an earlier version of this paper. This work was supported by a grant from the Simons Foundation (# 429370 , Richard Ehrenborg).

Publisher Copyright:
© 2017 Elsevier Inc.


  • Base p expansion
  • Descent set statistic
  • Number of prime factors

ASJC Scopus subject areas

  • Applied Mathematics


Dive into the research topics of 'On the powers of the descent set statistic'. Together they form a unique fingerprint.

Cite this