Parameterized Integer Solutions of Quaternary Quadratic Diophantine Equation

Parameterized Integer Solutions of Quaternary Quadratic Diophantine Equation

Publication Date : 23-03-2026

DOI: 10.5281/zenodo.19181859


Author(s) :

G. Janaki, R. Sarulatha.


Volume/Issue :
Volume 04
,
Issue 3
(03 - 2026)



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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