Observations On Ternary Quadratic Diophantine Equation

Abstract

The Ternary Quadratic Diophantine Equation is analyzed for its infinite number of non-zero integral solutions. Four interesting patterns satisfying the cone are identified. There are a few interesting connections between the solutions and some unique number patterns.

Introduction

Conclusion

This paper discusses four distinct patterns of non-zero distinct integer solutions to the non-homogeneous cone given by . To conclude, one may search for other patterns of solutions and their corresponding properties.

References

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Copyright

Copyright © 2024 C. Saranya, M. Janani. 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.