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Journal of Number Theory
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Journal of Number Theory
Article . 1978
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Journal of Number Theory
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A divisibility property for stirling numbers

A divisibility property for Stirling numbers
descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1978 English Publisher:Elsevier BVJournal:Journal of Number Theory, volume 10, pages 35-54 (issn: 0022-314X, Copyright policy )
Authors: Albert T. Lundell;

doi: 10.1016/0022-314x(78)90005-7

A divisibility property for stirling numbers

Abstract

AbstractIn this paper we calculate which prime powers ps divide Δn, m = g.c.d.{k! S(n, k)|m ≤ k ≤ n} for s < p. Here S(n, k) is a Stirling number of the second kind.

Related Organizations
Keywords

Algebra and Number Theory, Fibonacci and Lucas numbers and polynomials and generalizations, Multiplicative structure; Euclidean algorithm; greatest common divisors, Combinatorial identities, bijective combinatorics

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
21
Average
Top 10%
Average
hybrid