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

Author

Listed:
  • 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)

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.

Suggested Citation

  • A. Vijayasankar & Sharadha Kumar & M. A. Gopalan, 2020. "A Peer Search on Integer Solutions to Quadratic Diophantine Equation with Three Unknowns (Equation)," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 6(8), pages 166-171, 10-2020.
    • Handle: RePEc:arp:ajoams:2020:p:166-171
    DOI: 10.32861/ajams.68.166.171
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