ON HOMOGENEOUS QUINARY QUADRATIC DIOPHANTINE EQUATION x²+y²+4(z²+w²)=24t²
DOI:
https://doi.org/10.29121/granthaalayah.v10.i5.2022.4623Keywords:
Homogeneous Quadratic, Quadratic With Five Unknowns, Integer SolutionsAbstract [English]
The homogeneous quadratic diophantine equation with five unknowns given by is analyzed for determining its non-zero distinct integer solutions through employing linear transformations.
Downloads
References
Adiga, S. (2020). On Bi-Quadratic Equation with Four Unknowns AIP Conference Proceedings 2261. https://aip.scitation.org/doi/abs/10.1063/5.0016866
Anbuselvi, R. Rani, S. J. (2017). Integral Solutions of Quadratic Diophantine Equation With Five Unknowns, IJERD, 13(9), 51-56.
Anbuselvi, R. Rani, S. J. (2018). Integral Solutions of Quadratic Diophantine Equation With Five Unknowns, IJRAT, 6(11), 3327-3329.
Andre, W. (1984). Number Theory : An approach through History, from Hammurapi to Legendre, Birkhauser, Boston.
Datta, B. and Singh, A. N. (1938). History of Hindu Mathematics, Asia Publishing House, Bombay.
Dickson, L. E. (1971). History of Theory of Numbers, Vol.II, American Mathematical Society, New York.
Gopalan, M. A. Sangeetha, V. and Somanath, M. (2013). Integral Point on the Quadratic Equation with Four Unknowns, Diophantus J. Math., 2(1), 47-54.
Gopalan, M. A. Vidhyalakshmi, S. and Lakshmi, K. (2013). On the Non Homogeneous Quadratic Equation, International Journal of Applied Mathematical Sciences, 6(1), 1-6.
Gopalan, M. A. Vidhyalakshmi, S. and Lakshmi, K. (2013). On the Non Homogeneous Quadratic Equation, American Journal of Mathematical Sciences and Applications, 1(1), 77-85.
Gopalan, M. A. Vidhyalakshmi, S. and Premalatha, E. (2013). On Equal Sums Of Like Powers, International Journal of Engineering Research-OnlineA, 6(1), vol 1, issue 3,401-406. http://ijoer.in/Vol%201.3.2013/401-406.pdf
Gopalan, M. A. and Sivakami, S. (2012). Integral Solutions of Quadratic with Four Unknowns, Global Journal of Pure and Applied Mathematics, 8(5), 573-578.
Gopalan, M. A. and Srividhya, G. (2012). On the Diophantine Equation, Impact J. Sci., 6(1), 111-116.
Mordell, L. J. (1969). Diophantine Equations, Academic Press, New York.
Vidhyalakshmi, S. Gopalan, M. A. Thangam, S. A. (2018). Real and Gaussian Integer Solutions to, GJESR, 5(9), 46-53.
Vijayasankar, A. Gopalan, M. A. Krithika, V. (2017). Observations on, IJRTER, 3(5), 378-381. https://doi.org/10.23883/IJRTER.2017.3238.G5PPT DOI: https://doi.org/10.23883/IJRTER.2017.3238.G5PPT
Published
How to Cite
Issue
Section
License
Copyright (c) 2022 M.A. Gopalan, S. Vidhyalakshmi
This work is licensed under a Creative Commons Attribution 4.0 International License.
With the licence CC-BY, authors retain the copyright, allowing anyone to download, reuse, re-print, modify, distribute, and/or copy their contribution. The work must be properly attributed to its author.
It is not necessary to ask for further permission from the author or journal board.
This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge.