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https://ir.vidyasagar.ac.in/jspui/handle/123456789/4663| Title: | Lattice Points on the Cone |
| Authors: | Vijayasankar, A Krithika, V Gopalan, M.A |
| Keywords: | Ternary quadratic integer solutions homogeneous quadratic cone |
| 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. |
| URI: | http://inet.vidyasagar.ac.in:8080/jspui/handle/123456789/4663 |
| ISSN: | 2350-0352 |
| Appears in Collections: | Journal of Physical Sciences Vol.24 [2019] (Special Issue) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| JPS-v24-art12.pdf | 65.58 kB | Adobe PDF | View/Open |
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