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Solvability of some entangled Diophantine equations

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대한수학회 (The Korean Mathematical Society)|2014.09|대한수학회보 (Bulletin of the KMS)|제51권 제5호|pp. 1369-1374

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참고문헌

키워드

Hermitian latticesDiophantine equationsquadratic forms
주제분류수학

초록

We show that the Diophantine equation aQ(x1, x2) + bQ(x3, x4) + cQ(x5, x6) = abc has integral solutions for arbitrary positive integers a, b, c when Q(x, y) is a norm form for some imaginary quadratic fields.

Abstract

We show that the Diophantine equation aQ(x1, x2) + bQ(x3, x4) + cQ(x5, x6) = abc has integral solutions for arbitrary positive integers a, b, c when Q(x, y) is a norm form for some imaginary quadratic fields.

참고문헌 (13)

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