Journal of Integrative Natural Science (통합자연과학논문집)

The Basic Science Institute Chosun University (조선대학교 기초과학연구원)
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A Ratio Variation of Nicomachus's Theorem

  • Kim, Seon-Hong (Department of Mathematics, Sookmyung Women's University)
  • Received : 2019.05.13
  • Accepted : 2019.06.24
  • Published : 2019.06.30
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Abstract

In this paper, we study a ratio variation of Nicomachus' theorem by computing ${\sum\limits_{k=1}^{n}}[rk]$ and ${\sum\limits_{k=1}^{n}}[rk]^3$, where r is a rational number.

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References

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  2. S. O. Warnaar, "On the q-analogue of the sum of cubes", Electron. J. Combin. 11(1), Note 13, 2 pages, 2004.