A NOTE ON SMOOTH NUMBERS IN SHORT INTERVALS

作者:Matomaki Kaisa*
来源:International Journal of Number Theory, 2010, 6(5): 1113-1116.
DOI:10.1142/S1793042110003381

摘要

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).

  • 出版日期2010-8