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20132026
most citedDiophantine approximation and the equation (a^2 c x^k - 1)(b^2 c y^k - 1) = (abc z^k - 1)^2

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math.NT2013

On the Diophantine equation N X^2 + 2^L 3^M = Y^N

Eva G. Goedhart, Helen G. Grundman

We prove that the Diophantine equation N X^2 + 2^L 3^M = Y^N has no solutions (N,X,Y,L,M) in positive integers with N > 1 and gcd(NX,Y) = 1, generalizing results of Luca, Wang and…