Dedekind sums and power residue symbols
Robert Sczech (1986)
Compositio Mathematica
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Robert Sczech (1986)
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Hui Lin Zhu, Jian Hua Chen (2008)
Rendiconti del Seminario Matematico della Università di Padova
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Alan Candiotti (1974)
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R. J. Stroeker (1979)
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This article provides necessary and sufficient conditions for both of the Diophantine equations X^2 − DY^2 = m1 and x^2 − Dy^2 = m2 to have primitive solutions when m1 , m2 ∈ Z, and D ∈ N is not a perfect square. This is given in terms of the ideal theory of the underlying real quadratic order Z[√D].
Kuang-Yen Shih (1978)
Compositio Mathematica
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Heima Hayashi (1988)
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E. Szemerédi (1970)
Acta Arithmetica
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