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On the solvability of the diophantine equationax 2+by 2+cz 2=0 in imaginary Euclidean quadratic fields

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Arkiv för Matematik

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Bibliography

  1. A. M. Legendre: Mém. Acad. Sc. Paris (1785) pp. 507–513; see also Théorie des Nombres (1798) pp. 43–50.

  2. Dirichlet-Dedekind: Zahlentheorie §§ 156–157.

  3. T. Nagell: Introduction to Number Theory (Uppsala 1951), § 61.

  4. Hardy-Wright: The Theory of Numbers. Ch. XIV.

  5. T. Skolem: Über die Lösung der unbestimmten Gleichungax 2+by 2+cz 2=0 in einigen einfachen Rationalitätsbereichen, Norsk Matematisk Tidskrift X (1928) pp. 50–54.

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  6. Sommer: Vorlesungen über Zahlentheorie § 21.

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  1. Ove Hemer
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Hemer, O. On the solvability of the diophantine equationax 2+by 2+cz 2=0 in imaginary Euclidean quadratic fields. Ark. Mat. 2, 57–82 (1952). https://doi.org/10.1007/BF02591382

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  • DOI: https://doi.org/10.1007/BF02591382

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