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Observations on the Ternary Quadratic Equation X<sup>2</sup>=24α<sup>2</sup>+Y<sup>2</sup>
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Observations on the Ternary Quadratic Equation X2=24α2+Y2

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Abstract:

The Ternary Quadratic Equation X2=24α2+Y2 is Considered.Employing its Non-Zero Integral Solutions, Relations among a few Special Polygonal Numbers are Determined.

Info:

Periodical:
The Bulletin of Society for Mathematical Services and Standards (Volume 10)
Pages:
59-61
DOI:
https://doi.org/10.18052/www.scipress.com/BSMaSS.10.59
Citation:
M.A. Gopalan et al., "Observations on the Ternary Quadratic Equation X2=24α2+Y2", The Bulletin of Society for Mathematical Services and Standards, Vol. 10, pp. 59-61, 2014
Online since:
June 2014
Authors:
M.A. Gopalan, V. Sangeetha, Manju Somanath
Keywords:
Integral Solutions, Polygonal Numbers, Ternary Quadratic
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Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

Dickson. L E, History of theory of numbers, Chelsea Publishing Company, NewYork (2) (1971).

Gopalan M A and Devibala S, Equality of triangular numbers with special m-gonal numbers, Bulletin of Allahabad Mathematical Society, 1(2006), 25-29.

Gopalan M A., Manju Somanath and Vanitha N, Observations on X 2=8 2+Y2, Advances in Theoretical and Mathematical Society, 3 (2006), 245-248.

Gopalan M A and Srividhya G, Relations among m-gonal numbers through the equation y 2=2x 21, Antarctica J. Math, 7(3) (2010), 363-369.

Gopalan. M A and Srividhya G, Observations on X 2=48 2+Y2, Archimedes J. Math., 2(1) (2012), 1-5.

Gopalan. M A and Srividhya G, Observations on Y2=2X 2+Z 2, Archimedes J. Math., 2(1) (2012), 1-5.

Gopalan. M A and Srividhya G, Observations on , Archimedes J. Math., 2(1) (2012), 7-15.

Gopalan. M A and Geetha V, Observations on some Pellian equations, Cayley J. Math., 2(2) (2013), 109-118.

Kapur J N, Ramanujan's Miracles, Mathematical Sciences Trust Society (1997).

Manju Somanath, Gopalan M A and Sangeetha G, Relations among special figurate numbers through the equation y 2=10x 2+1, Impact J. Sci. Tech, 5(1) (2011), 57-60.

Shailesh Shirali, Mathematical Marvels, A primer on number sequences, University Press (2001).

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