A1 Refereed original research article in a scientific journal
Another note on smooth numbers in short intervals
Authors: Matomaki K
Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD
Publication year: 2016
Journal: International Journal of Number Theory
Journal name in source: INTERNATIONAL JOURNAL OF NUMBER THEORY
Journal acronym: INT J NUMBER THEORY
Volume: 12
Issue: 2
First page : 323
Last page: 340
Number of pages: 18
ISSN: 1793-0421
eISSN: 1793-7310
DOI: https://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).
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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