EntityQ4454970· pop 7· linked from 5 articlesLegendre's theoremSign in to savetheorem giving conditions for existence of solutions to the Diophantine equation ax²+by²+cz²=0ConnectionsmathematicsEntityInternational Standard Book NumberEntitynumber theoryEntitycoprimeEntityAdrien-Marie LegendreEntityDiophantine equationEntityLegendre polynomialEntitysquare-free integerEntityquadratic residueEntityLeonard Eugene DicksonEntityMathematics of ComputationEntityCategoriesDiophantine equations