most citedThe Fermat-type equations x^5 + y^5 = 2z^p or 3z^p solved through Q-curves

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math.NT2011★ 3 cited

The Fermat-type equations x^5 + y^5 = 2z^p or 3z^p solved through Q-curves

Luis Dieulefait, Nuno Freitas

We solve the Diophantine equations with for a set of prime numbers of density 1/4, 1/2, respectively. The method consists in relating a possible solutio…