On the Integer Solutions of the Homogeneous Biquadratic Diophantine Equation

Abstract

The homogenous biquadratic Diophantine equation with five unknowns non-zero unique integer solutions are found using several techniques. The unusual numbers and the solutions are found to have a few intriguing relationships. The relationships between the solutions’ recurrences are also shown.

Introduction

Conclusion

Other non-zero unique integer solutions to the multivariable biquadratic equations under consideration may be sought after.

References

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Copyright

Copyright © 2023 G Janaki, M. Krishnaveni. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.