On the powers of the descent set statistic

Richard Ehrenborg; Alex Happ

doi:10.1016/j.aam.2017.10.003

On the powers of the descent set statistic

Richard Ehrenborg, Alex Happ

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	1-17
Number of pages	17
Journal	Advances in Applied Mathematics
Volume	96
DOIs	https://doi.org/10.1016/j.aam.2017.10.003
State	Published - 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.

Keywords

Base p expansion
Descent set statistic
Number of prime factors

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aam.2017.10.003

Cite this

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abstract = "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.",

keywords = "Base p expansion, Descent set statistic, Number of prime factors",

author = "Richard Ehrenborg and Alex Happ",

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: {\textcopyright} 2017 Elsevier Inc.",

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KW - Number of prime factors

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JO - Advances in Applied Mathematics

JF - Advances in Applied Mathematics

ER -

On the powers of the descent set statistic

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this