GAUSSIAN INTEGER SOLUTIONS FOR THE ELLIPTIC PARABOLOID ? ? + ? ? ? = ??

Journal: International Journal of Engineering Sciences & Research Technology (IJESRT) (Vol.4, No. 7)

Publication Date: 2015-07-30

Authors : Gopalan. M.A;

Page : 674-679

Keywords : Elliptic paraboloid; Ternary quadratic;

Source : Download Find it from : Google Scholar

Abstract

The elliptic paraboloid represented by the ternary quadratic diophantine equation ? 2 + 2 ? 2 = 4 ? 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.

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GAUSSIAN INTEGER SOLUTIONS FOR THE ELLIPTIC PARABOLOID ? ? + ? ? ? = ??

Abstract

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