Another note on smooth numbers in short intervals

作者：Matomaki Kaisa^*

来源：International Journal of Number Theory, 2016, 12(2): 323-340.

DOI：10.1142/S1793042116500196

• Smooth numbers
• short intervals
• sums over zeros of zeta-function

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).

• 出版日期2016-3