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Title: Lattice Points on the Cone
Authors: Vijayasankar, A
Krithika, V
Gopalan, M.A
Keywords: Ternary quadratic
integer solutions
homogeneous quadratic
Issue Date: 6-Jun-2019
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.
ISSN: 2350-0352
Appears in Collections:Journal of Physical Sciences Vol.24 [2019] (Special Issue)

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