engleski

The problem of Diophantus for integers of Q[√ -3]

We solve the problem of Diophantus for integers of the quadratic field Q[√ -3] by finding a D(z)- quadruple in Z[(1+√-3)/2] for each z that can be represented as a difference of two squares of integers in Q[√-3], up to finitely many possible exceptions.

Diophantine quadruples ; quadratic field

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