Mathematical analysis reveals non-trivial integer solutions for a ternary quadratic cone equation, highlighting distinct algebraic relations and patterns.
The ternary quadratic equation ࢻ ࢼ + ࢽ)ૠ = ࢼ+ ∝ − − ) representing cone is analyzed by its nonzero distinct integer points on it. Employing the integer solutions, a few relations between the solutions and some patterns are presented.
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Somanath et al. (2024) studied this question.
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