GAUSSIAN INTEGER SOLUTIONS FOR THE ELLIPTIC PARABOLOID 풙 ퟐ + ퟐ 풚 ퟐ = ퟒ풛

Abstract

The elliptic paraboloid represented by the ternary quadratic diophantine equation 푥 2 + 2 푦 2 = 4 푧 is considered and analyzed for its Gaussian integer solutions. Also, knowing a solution, general formulas for generating sequence of Gaussian integer solutions for the above equation are presented.

Authors and Affiliations

Gopalan. M. A

Keywords

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  • EP ID EP137772
  • DOI -
  • Views 71
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How To Cite

Gopalan. M. A (30). GAUSSIAN INTEGER SOLUTIONS FOR THE ELLIPTIC PARABOLOID 풙 ퟐ + ퟐ 풚 ퟐ = ퟒ풛. International Journal of Engineering Sciences & Research Technology, 4(7), 674-679. https://europub.co.uk/articles/-A-137772