Volume : V, Issue : VII, July - 2015

ON THE TERNARY QUADRATIC DIOPHANTINE EQUATION (2k + 2)(x2 + y2 ) (4k 1)xy = 8(k +1)z2

M. A. Gopalan, S. Vidhyalakshmi, R. Anbuselvi, V. Krithika

Abstract :

 The ternary quadratic Diophantine equation represented by 2 2 2 (2 2)( ) (4 1) 8( 1) k x y k xy k z + +−− =+ is analyzed for its patterns of non – zero distinct integral solutions. A few interesting relations between the solutions and special polygonal numbers are exhibited.

Keywords :

Article: Download PDF   DOI : 10.36106/ijar  

Cite This Article:

M.A.Gopalan, S. Vidhyalakshmi, R.Anbuselvi, V.Krithika On the Ternary Quadratic Diophantine Equation 2 2 2 (2 2)( ) (4 1) 8( 1) k x y k xy k z Indian Journal of Applied Research, Vol.5, Issue : 7 July 2015


Number of Downloads : 567


References :