Mathematical analysis demonstrates distinct non-zero integer solution patterns for a ternary quadratic surface, highlighting methods for solving Diophantine equations.
This paper is concerned with the problem of obtaining non-zero distinct integer solutions to the quadratic surface given by the homogeneous ternary second degree polynomial equation X2+ 2y = 3z2. Employing linear transformations, different patterns of integer solutions to the considered quadratic surface are obtained.
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Anbuvalli et al. (2026) studied this question.
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