Refereed journal article or data article (A1)

Another note on smooth numbers in short intervals




List of AuthorsMatomaki K

PublisherWORLD SCIENTIFIC PUBL CO PTE LTD

Publication year2016

JournalInternational Journal of Number Theory

Journal name in sourceINTERNATIONAL JOURNAL OF NUMBER THEORY

Journal acronymINT J NUMBER THEORY

Volume number12

Issue number2

Start page323

End page340

Number of pages18

ISSN1793-0421

eISSN1793-7310

DOIhttp://dx.doi.org/10.1142/S1793042116500196


Abstract
In 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).

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Last updated on 2021-24-06 at 09:56