A1 Refereed original research article in a scientific journal

A NOTE ON SMOOTH NUMBERS IN SHORT INTERVALS



Authors: Matomäki Kaisa

Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD

Publication year: 2010

Journal: International Journal of Number Theory

Journal name in source: INTERNATIONAL JOURNAL OF NUMBER THEORY

Journal acronym: INT J NUMBER THEORY

Number in series: 5

Volume: 6

Issue: 5

First page : 1113

Last page: 1116

Number of pages: 4

ISSN: 1793-0421

DOI: https://doi.org/10.1142/S1793042110003381


Abstract
We prove that, for any epsilon > 0, there exists a constant C > 0 such that the interval [x, x + C root x] contains numbers whose all prime factors are smaller than x(1/(5 root e)+epsilon).



Last updated on 2024-26-11 at 17:16