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arXiv.org e-Print Archive
Preprint . 2015
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2015
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Representation of positive integers by the form $x_1...x_k + x_1 + ... + x_k$

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2015Embargo end date: 01 Jan 2015Publisher:arXiv
Authors: Shevelev, Vladimir;

doi: 10.48550/arxiv.1508.03970

arXiv: 1508.03970

Representation of positive integers by the form $x_1...x_k + x_1 + ... + x_k$

Abstract

For an arbitrary given $k\geq3,$ we consider a possibility of representation of a positive number $n$ by the form $x_1...x_k+x_1+...+x_k, 1\leq x_1\leq ... \leq x_k.$ We also study a question on the smallest value of $k\geq3$ in such a representation.

Addition p=97 in Section 5

Keywords

Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), 11N32

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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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