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Integers without large prime factors: from Ramanujan to de Bruijn

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Preprint 01 Jan 2012Embargo end date: 01 Jan 2012Publisher:ZenodoJournal:Integers, volume 14A
Authors: Pieter Moree;

doi: 10.48550/arxiv.1212.1581 , 10.5281/zenodo.10135554 , 10.5281/zenodo.10135553

arXiv: 1212.1581

Integers without large prime factors: from Ramanujan to de Bruijn

Abstract

A small survey of work done on estimating the number of integers without large prime factors up to around 1950 is provided. Around 1950 N.G. de Bruijn published results that dramatically advanced the subject and started a new era in this topic.

12 pages, 1 Figure

Related Organizations
Keywords

Mathematics - Number Theory, Mathematics - History and Overview, History and Overview (math.HO), Research exposition (monographs, survey articles) pertaining to number theory, 11N25 (Primary) 34K25 (Secondary), psixyology, \(y\)-friable integers, FOS: Mathematics, History of number theory, Number Theory (math.NT), integers without large prime factors, Distribution of integers with specified multiplicative constraints

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    popularity
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    influence
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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!
0
Average
Average
Average
Green