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Paper Title

On the Gaussian integer solutions for an elliptic Diophantine equation

Authors

J. Kannan

Article Type

Research Article

Journal

Advances and Applications in Mathematical Sciences

Issue

Volume : 20 | Issue : 5 | Page No : 815-822

Published On

March, 2021

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Abstract

The quadratic Diophantine equation with two unknowns represented by an elliptic curve DE: 65J2+225 K2-230 JK = 1600 is analyzed for its non-zero separate solutions in Z[i]. We also gain a few formulae and reappearance relations on the Gaussian integer solutions (Jn Kn) of DE.