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Research Paper | Mathematics | India | Volume 4 Issue 12, December 2015
On The Homogeneous Biquadratic Equation with 5 Unknowns
Dr. P. Jayakumar [14] | J. Meena [4]
Abstract: The Homogenous biquadratic equation with five unknowns given by is considered and analyzed for finding its non zero distinct integral solutions. Introducing the linear transformations x = u + v, y = u v, z = 2uv +1, w =2uv-1 and employing the method of factorization different patterns of non zero distinct integer solutions of the equation under the above equation are obtained. A few interesting relations between the integral solutions and the special numbers namely Polygonal numbers, Star number, Pronic number and Gnomonic number are exhibited.
Keywords: Homogeneous equation, Integral solutions, Polygonal number and special number
Edition: Volume 4 Issue 12, December 2015,
Pages: 656 - 658
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Downloads: 104
Research Paper, Mathematics, India, Volume 4 Issue 1, January 2015
Pages: 2050 - 2052Integral Points on the Cone x2 + 25y2 =17z2
Dr. P. Jayakumar [14] | S. Prabha [6]
Downloads: 113
Research Paper, Mathematics, India, Volume 5 Issue 3, March 2016
Pages: 1863 - 1866On The Homogeneous Biquadratic Equation With 5 Unknowns: x4-y4=65 (z2-w2) R2
Dr. P. Jayakumar [14] | R. Venkatraman [6]