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Research Paper | Mathematics | India | Volume 4 Issue 1, January 2015 | Rating: 6.1 / 10

Integral Points on the Cone x2 + 25y2 =17z2

Dr. P. Jayakumar ^[14] | S. Prabha ^[6]

Abstract: The ternary quadratic homogeneous equation representing cone given by x2 + 25y2 = 17z2 is analyzed for its non zero distinct integer points on it. Five different patterns of integer points satisfying the cone under consideration are obtained. A few interesting relation between the solutions and special number patterns are presented.

Keywords: Ternary Quadratic, homogenous cone, integer solutions

Edition: Volume 4 Issue 1, January 2015,

Pages: 2050 - 2052