Parameterized Integer Solutions of Quaternary Quadratic Diophantine Equation
G. Janaki, R. Sarulatha
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.