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Displaying similar documents to “The Diophantine equation A X 2 - B Y 2 = C solved via continued fractions.”

Inverse Trigonometric Functions Arcsec and Arccosec

Bing Xie, Xiquan Liang, Fuguo Ge (2008)

Formalized Mathematics

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This article describes definitions of inverse trigonometric functions arcsec and arccosec, as well as their main properties.MML identifier: SINCOS10, version: 7.8.10 4.100.1011

Ideal Criteria for both Ideal Criteria for both X2-dy2 = M1 And X2-dy2 = M2 to have Primitive Solutions for any Integers M1, M2 Prime to D > 0

Mollin, R. (2002)

Serdica Mathematical Journal

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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].