Observations On Ternary Quadratic Diophantine Equation

Abstract

The Ternary Quadratic Diophantine Equation is given by . Number of non-zero distinct integer solutions. Some interesting relations among the solutions and the way of factorization, along with the illusion of non-zero distinct integer solutions to the above equations are obtained.

Introduction

Conclusion

Four distinct patterns of non-zero distinct integer solutions to the non-homogeneous cone given by are presented in this paper. To finish up, one might look for different examples of non-zero number unmistakable arrangements and their relating properties for different decisions of ternary quadratic Diophantine conditions.

References

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Copyright

Copyright © 2024 C. Saranya, R. Salini. 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.