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http://arxiv.org/pdf/1211.2100...
Article
Data sources: UnpayWall
https://doi.org/10.1063/1.4992...
Article . 2017 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.1063/1.4...
Other literature type
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Integer properties of a composition of exponential generating functions

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2017Publisher:Author(s)Journal:AIP Conference Proceedings, volume 1,863, page 300,014 (issn: 0094-243X, Copyright policy )
Authors: Dmitry V. Kruchinin; Yuriy V. Shablya; Oleg O. Evsutin; Alexander A. Shelupanov;

doi: 10.1063/1.4992463

Integer properties of a composition of exponential generating functions

Abstract

In this paper, we study a composition of exponential generating functions. We obtain new properties of this composition, which allow to distinguish prime numbers from composite numbers. Using the results of the paper we get the known properties of the Bell numbers (Touchard’s Congruence for k = 0).In this paper, we study a composition of exponential generating functions. We obtain new properties of this composition, which allow to distinguish prime numbers from composite numbers. Using the results of the paper we get the known properties of the Bell numbers (Touchard’s Congruence for k = 0).

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selected citations
These citations are derived from selected sources.
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!
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