A Study on Two Special Ternary Quadratic Diophantine Equations

Shreemathi Adiga; M. A. Gopalan

doi:10.9734/CJAST/2018/42693

Research Article Open access CC BY 4.0

A Study on Two Special Ternary Quadratic Diophantine Equations

Shreemathi Adiga, M. A. Gopalan

Current Journal of Applied Science and Technology · pp. 1–5 · Published 18 Jul 2018

10.9734/CJAST/2018/42693

Abstract

Hyperbolic paraboloids represented by the ternary quadratic diophantine equations given by (k+1)2x2 - k2y2=2z and k2ay2 – (a -k +1)x2 = ((k2 – 1)a+k – 1)z , a>k-1>0 are respectively considered. Employing matrix method, generation formula for integer solutions to each of the above hyperbolic paraboloids is constructed in the present study.

Ternary quadratic non-homogeneous quadratic generation of solutions hyperbolic paraboloid

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Shreemathi Adiga, M. A. Gopalan (2018). A Study on Two Special Ternary Quadratic Diophantine Equations. Current Journal of Applied Science and Technology , 1–5. https://doi.org/10.9734/CJAST/2018/42693

Affiliations

Shreemathi Adiga — Department of Mathematics, Government First Grade College, Koteshwara, Kundapura Taluk, Udupi-576222, Karnataka, India.
M. A. Gopalan — Department of Mathematics, Shrimati Indira Gandhi College, Trichy- 620 002, Tamil Nadu, India.

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