Diophantine equations and identities

Abstract

The general diophantine equations of the second and third degree are far from being totally solved. The equations considered in this paper are i) x2−my2=±1 ii) x3+my3+m2z3−3mxyz=1iii) Some fifth degree diopantine equations

Keywords

• diophantine equations
• identities
• an algorithm in a complex field (abbr. ACF)
• units in the algebraic number fields.