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ITERATION OF 2 × 2 MATRICES IN ℤ4 AND THEIR FOUR COLOR EXPRESSIONS (I)

  • DAEYEOUL KIM (Department of Mathematics and Institute of Pure and Applied Mathematics, Jeonbuk National University)
  • Received : 2023.11.13
  • Accepted : 2024.01.11
  • Published : 2024.03.30

Abstract

The aim of this article is to consider the sequences generated by repeatedly performing matrix multiplication operations, define the stable, amicable pair, sociable matrix sequences, and analyze the results obtained through iteration. Lastly, numbers are changed to colors to make them easier to understand.

Keywords

Acknowledgement

This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 2021R1F1A1051093).

References

  1. D. Kim and A. Bayad, Polygon numbers associated with the sum of odd divisors function, Exp. Math. 26 (2017), 287-297. https://doi.org/10.1080/10586458.2016.1162231
  2. D. Kim, A. Bayad and S. Park, Iterated stable numbers and iterated amicable pairs, Mathematical Methods in the Applied Sciences 44 (2021), 12479-12499. https://doi.org/10.1002/mma.7555
  3. S. Lang, Linear Algebra, Springer-Velag, 1987.
  4. J.H. Silvermann, The arithmetic of Elliptic curves, Springer-Velag, 1992.
  5. F. Zhang, Matrix Theory, Springer, 1999.