On the Distribution of Cube-Free Numbers with the Form [n^c]

2017/02/01 by Min Zhang, Jinjiang Li, Zhang, Min +1 · 1 citation
Mathematics · #Advanced Mathematical Identities #Advanced Mathematical Theories #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1702.00165

openalex publication_date 2017/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we proved that there are infinite cube--free numbers of the form [n^c] for any fixed real number 1

Cited by

• An analog to the Goldbach problem and the twin prime problem

Related

• Square-free values of n²+n+1
• On the distribution of consecutive square-free numbers of the form [αn], [αn]+1
• Pairs of square-free values of the type n²+1, n²+2
• The n-dimensional Cube--A New Way to Prove the Fermat's Last Theorem
• On the distribution of powered numbers