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|Title:||Lattice Points on the Cone|
|Publisher:||Vidyasagar University , Midnapore , West Bengal , India|
|Series/Report no.:||Journal of Physical Sciences;JPS-v24-art12|
|Abstract:||This paper concerns with the problem of obtaining non-zero distinct integer solutions to the ternary quadratic Diophantine equation representing a cone given by z^2=15x^2-6y^2. Different sets of solutions are presented. A few interesting relations between the solutions and special polygonal numbers are obtained. Given a solution, a formula for generating sequence of solutions is illustrated.|
|Appears in Collections:||Journal of Physical Sciences Vol.24  (Special Issue)|
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