대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제51권5호
  • /
  • Pages.1369-1374
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  • 2014
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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SOLVABILITY OF SOME ENTANGLED DIOPHANTINE EQUATIONS

  • Park, Poo-Sung (Department of Mathematics Education Kyungnam University)
  • 투고 : 2013.02.05
  • 발행 : 2014.09.30
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초록

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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참고문헌

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