[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2014.51.5.1369

SOLVABILITY OF SOME ENTANGLED DIOPHANTINE EQUATIONS

Park, Poo-Sung (Department of Mathematics Education Kyungnam University)

Publication Information

Bulletin of the Korean Mathematical Society / v.51, no.5, 2014 , pp. 1369-1374 More about this Journal

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.

Keywords

Diophantine equations; quadratic forms; Hermitian lattices;

Citations & Related Records

Reference

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