Integral Solutions of the Homogeneous Biquadratic Diophantine Equations with Five Unknowns (X2 - Y2) (3X2 + 3Y2 ?2XY) = 12(Z2 ?W2)T2
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | India | Volume 4 Issue 3, March 2015 | Popularity: 6.1 / 10


     

Integral Solutions of the Homogeneous Biquadratic Diophantine Equations with Five Unknowns (X2 - Y2) (3X2 + 3Y2 ?2XY) = 12(Z2 ?W2)T2

Dr. P. Jayakumar, G. Shankarakalidoss


Abstract: Four different patterns are used to find non-zero distinct integral solutions for the homogeneous biquadratic Diophantine equations (X2 - Y2) (3X2 + 3Y2 2XY) = 12 (Z2 W2) T2. Different types of properties are exposed in every pattern with polygonal, nasty, square and cubic numbers.


Keywords: Homogeneous biquadratic, integral solutions, special numbers


Edition: Volume 4 Issue 3, March 2015


Pages: 40 - 42



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Dr. P. Jayakumar, G. Shankarakalidoss, "Integral Solutions of the Homogeneous Biquadratic Diophantine Equations with Five Unknowns (X2 - Y2) (3X2 + 3Y2 ?2XY) = 12(Z2 ?W2)T2", International Journal of Science and Research (IJSR), Volume 4 Issue 3, March 2015, pp. 40-42, https://www.ijsr.net/getabstract.php?paperid=SUB151870, DOI: https://www.doi.org/10.21275/SUB151870

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