Distribution of cube-free numbers with form <inline-formula><math xmlns:mml=

doi:10.1007/s11464-017-0652-1

Front. Math. China

2017, Vol. 12

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

RESEARCH ARTICLE

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

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Abstract

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

Keywords Cube-free number exponential sum asymptotic formula

Corresponding Author(s): Jinjiang LI

Issue Date: 27 November 2017

Cite this article:

Min ZHANG,Jinjiang LI. Distribution of cube-free numbers with form

[n c]

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

URL:

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

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