Parameterized Integer Solutions of Quaternary Quadratic Diophantine Equation
Publication Date : 23-03-2026
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Abstract :
Diophantine equations seek integer solutions to polynomial equations, encompassing linear forms to intricate nonlinear systems that underpin classic and contemporary mathematical challenges [1,2,8,9,11]. Quadratic Diophantine equations in multiple variables hold particular attention, as solving them uncovers links between algebra and number patterns, often yielding practical ways to generate solutions [3-7,10,12-15]. Building upon prior investigations into quaternary quadratic Diophantine equations where solutions vary widely based on parameters.
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