REAL

The Diophantine equation x4-y4=z2 in three quadratic fields

Szabó, Sándor (2004) The Diophantine equation x4-y4=z2 in three quadratic fields. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 20 (1). pp. 1-10. ISSN 0866-0174

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Abstract

Each solution of the equation x4 − y4 = z2 in the integers of the quadratic field Q(√d) is also a solution of the equation xyz = 0, where d = −2, −1, 2.

Item Type: Article
Uncontrolled Keywords: Diophantine equations, Quadratic fields
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 31 Jan 2024 10:29
Last Modified: 31 Jan 2024 10:29
URI: http://real.mtak.hu/id/eprint/186800

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