Journal of Shanghai University(Natural Science Edition) ›› 2018, Vol. 24 ›› Issue (6): 1014-1021.doi: 10.12066/j.issn.1007-2861.1925

• Research Paper • Previous Articles     Next Articles

An application of Riemann’s conjecture to integer distribution

LI Yufang, YAO Weili()   

  1. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2017-02-07 Online:2018-12-30 Published:2018-12-26
  • Contact: YAO Weili E-mail:yaoweili@shu.edu.cn

Abstract:

This paper studys distribution of integers with a fixed number of prime factors by applying an analytic method, and gets optimal estimation of the error term in the mean distribution by using Riemann’s conjecture.

Key words: Riemann’s conjecture, analytic method, distribution of prime

CLC Number: