Bulletin of Pure & Applied Sciences- Mathematics and Statistics
Year : 2010, Volume : 29e, Issue : 1
First page : ( 23) Last page : ( 28)
Print ISSN : 0970-6577. Online ISSN : 2320-3226.

Integral solutions of ternary quintic diophantine equation x² + y² = (k² +1) z⁵

Gopalan M.A.*, Sangeetha G.^1,**

Deptt. of Mathematics, Saranathan College of Engineering, Panjappur, Trichy-12

¹Department of Mathematics, Indra Ganesan College of Engineering, Manikandam, Trichy-12

*Email: gopalanma@yahoo.com

**Email: san_maths@yahoo.co.in

Online published on 22 February, 2013.

Abstract

The Diophantine equation of degree five with three unknowns represented by x² + y² = (k² +1) z⁵ is investigated for its non-zero distinct integral solutions. A few interesting relations between the values of x, y, z and special numbers are presented.

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Keywords

Ternary Quintic equation, Integral solutions.

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