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

A. Vijayasankar, Sharadha Kumar and M. A. Gopalan
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A. Vijayasankar: Assistant Professor, Department of Mathematics, National College, Affiliated to Bharathidasan University, Trichy-620 001, Tamil Nadu, India
Sharadha Kumar: Research Scholar, Department of Mathematics, National College, Affiliated to Bharathidasan University, Trichy-620 001, Tamil Nadu, India
M. A. Gopalan: Professor, Department of Mathematics, Shrimati Indira Gandhi College, Affiliated to Bharathidasan University, Trichy-620 002, Tamil Nadu, India

Academic Journal of Applied Mathematical Sciences, 2020, vol. 6, issue 8, 166-171

Abstract: 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.

Keywords: Ternary quadratic; Non-homogeneous quadratic; Integer solutions. (search for similar items in EconPapers)
Date: 2020
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