SOLVABILITY OF SOME ENTANGLED DIOPHANTINE EQUATIONS

Title & Authors
SOLVABILITY OF SOME ENTANGLED DIOPHANTINE EQUATIONS
Park, Poo-Sung;

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