Distribution of cube-free numbers with form [nc]

doi:10.1007/s11464-017-0652-1

Frontiers of Mathematics in China

2017, Vol. 12

Issue (6): 1515-1525 https://doi.org/10.1007/s11464-017-0652-1

本期目录

Distribution of cube-free numbers with form

[n c]

Min ZHANG, Jinjiang LI(

)

Department of Mathematics, China University of Mining and Technology, Beijing 100083, China

全文: PDF(155 KB)

Abstract：

We prove that there are infinite cube-free numbers of the form $[n c]$ for any fixed real number c ∈ (1, 11/6).

Key words： Cube-free number exponential sum asymptotic formula

收稿日期: 2017-02-22 出版日期: 2017-11-27

Corresponding Author(s): Jinjiang LI

引用本文:

. [J]. Frontiers of Mathematics in China, 2017, 12(6): 1515-1525.
Min ZHANG, Jinjiang LI. Distribution of cube-free numbers with form

[n c]

. Front. Math. China, 2017, 12(6): 1515-1525.

链接本文:

https://academic.hep.com.cn/fmc/CN/10.1007/s11464-017-0652-1
https://academic.hep.com.cn/fmc/CN/Y2017/V12/I6/1515

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