# SOLVABILITY OF SOME ENTANGLED DIOPHANTINE EQUATIONS

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

#### 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.

#### Acknowledgement

Supported by : Kyungnam University

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