Odd/even cube-full numbers

Tippawan Puttasontiphot and Teerapat Srichan
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 27, 2021, Number 1, Pages 27–31
DOI: 10.7546/nntdm.2021.27.1.27-31
Full paper (PDF, 148 Kb)

Details

Authors and affiliations

Tippawan Puttasontiphot
Department of Mathematics Statistics and Computer Science,
Faculty of Liberal Arts and Science
Kasetsart University Kamphaengsan Campus, Nakhonphratom, Thailand

Teerapat Srichan
Department of Mathematics, Faculty of Science
Kasetsart University, Bangkok, Thailand

Abstract

In this paper we use an elementary method to give an asymptotical ratio of odd to even cube-full numbers and show that it is asymptotically 1 : 1 + 2^−1/3 + 2^−2/3.

Keywords

• Cube-full numbers
• Odd/even dichotomy

2010 Mathematics Subject Classification

• 40A25
• 11N69

References

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