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A Connection between Hardy-Ramanujan Number and Special Pythagorean Triangles

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Abstract:

Special Pythagorean Triangles are obtained in relation with the Hardy-Ramanujan Number 1729. Some special cases are also discussed. A few interesting results are obtained.

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Periodical:
The Bulletin of Society for Mathematical Services and Standards (Volume 10)
Pages:
45-47
Citation:
M. Darbari, "A Connection between Hardy-Ramanujan Number and Special Pythagorean Triangles", The Bulletin of Society for Mathematical Services and Standards, Vol. 10, pp. 45-47, 2014
Online since:
June 2014
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References:

Gopalan M.A., Vijyalakshmi P.; Special pythagorean triangles generated through the integral solutions of the equation y2 = (k 2+ 1) x 2 + 1; Antarctica J. Math.; 7(5) (2010); 503- 507.

Gopalan M. A., Devibala S.; Special pythagorean triangle; Acta Ciencia Indica, 31(1) M (2005); 39-40.

Gopalan M.A., Somnath Manju, Vanitha N.; Integral solutions of ternary quadratic equation XY + YZ = ZX; Antarctica J. Math.; 5(1) (2008); 1-5.

Gopalan M.A., Kalinga Rani J.; On ternary quadratic equation x2 + y 2 = z2+ 8; Impact J. of Science and Technology; 5(1) (2011); 39-43.

Rana S.S., Darbari Mita; Special Pythagorean Triangles in terms of Triangular Numbers; Journal of Ultra Scientist of Physical Sciences; Vol. 23(2); (2011).

Ivan Niven, Herbert S. Zuckerman; An Introduction to the Theory of Numbers; Wiley Eastern Limited; New Delhi; 1976; Page No. 106.

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