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Journal of Shanghai University >

2018 , Vol. 24 >Issue 6: 1014 - 1021

DOI: https://doi.org/10.12066/j.issn.1007-2861.1925

Research Paper

An application of Riemann’s conjecture to integer distribution

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  • College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2017-02-07

  Online published: 2018-12-26

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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

Cite this article

LI Yufang, YAO Weili . An application of Riemann’s conjecture to integer distribution[J]. Journal of Shanghai University, 2018 , 24(6) : 1014 -1021 . DOI: 10.12066/j.issn.1007-2861.1925

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