Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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SOLVABILITY OF SOME ENTANGLED DIOPHANTINE EQUATIONS

  • Park, Poo-Sung (Department of Mathematics Education Kyungnam University)
  • Received : 2013.02.05
  • Published : 2014.09.30
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Abstract

We show that the Diophantine equation $$aQ(x_1,x_2)+bQ(x_3,x_4)+cQ(x_5,x_6)=abc$$ has integral solutions for arbitrary positive integers a, b, c when Q(x, y) is a norm form for some imaginary quadratic fields.

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References

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