Another note on smooth numbers in short intervals

dc.contributor.authorMatomaki K
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id17464999
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/17464999
dc.date.accessioned2022-10-28T14:40:56Z
dc.date.available2022-10-28T14:40:56Z
dc.description.abstractIn this paper, we prove that, for any positive constants d and e and every large enough x, the interval [x, x + root x(log x)(7/3+delta)] contains numbers whose all prime factors are smaller than x(epsilon).
dc.format.pagerange323
dc.format.pagerange340
dc.identifier.eissn1793-7310
dc.identifier.jour-issn1793-0421
dc.identifier.olddbid189652
dc.identifier.oldhandle10024/172746
dc.identifier.urihttps://www.utupub.fi/handle/11111/44715
dc.identifier.urnURN:NBN:fi-fe2021042715771
dc.language.isoen
dc.okm.affiliatedauthorMatomäki, Kaisa
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationnot an international co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD
dc.publisher.countrySingaporeen_GB
dc.publisher.countrySingaporefi_FI
dc.publisher.country-codeSG
dc.relation.doi10.1142/S1793042116500196
dc.relation.ispartofjournalInternational Journal of Number Theory
dc.relation.issue2
dc.relation.volume12
dc.source.identifierhttps://www.utupub.fi/handle/10024/172746
dc.titleAnother note on smooth numbers in short intervals
dc.year.issued2016

Tiedostot

Näytetään 1 - 1 / 1
Ladataan...
Name:
Smoothshorts2.pdf
Size:
346.7 KB
Format:
Adobe Portable Document Format