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A Peer Search on Integer Solutions to Quadratic Diophantine Equation with Three Unknowns (Equation)

A. VijayasankarSharadha KumarM. A. GopalanDepartment of Mathematic modeling and Information Systems, Faculty of International economics and management, University of World Economy and Diplomacy, Tashkent, Uzbekistan
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The non- homogeneous ternary quadratic diophantine (Equation) is analyzed for its patterns of non-zero distinct integral solutions. Various interesting relations between the solutions and special numbers namely polygonal, Pronic and Gnomonic numbers are exhibited.

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