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Solutions and solvabilities of general binary quadric indefinite equations - MaRDI portal

Solutions and solvabilities of general binary quadric indefinite equations (Q1370159)

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scientific article; zbMATH DE number 1077931
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Solutions and solvabilities of general binary quadric indefinite equations
scientific article; zbMATH DE number 1077931

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    Solutions and solvabilities of general binary quadric indefinite equations (English)
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    12 November 1997
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    The author studies the diophantine equation \(ax^2 - bxy -cy^2 = q\) and determines its solutions and solvabilities in integers \(x,\;y\) by defining inductively sequences similar to those in [ \textit{X. Zhang}, Determination of solutions and solvabilities of diophantine equations and quadratic fields, in: Feng, Keqin (ed.) et al., Algebraic Geometry and Algebraic Number Theory, Tianjin 1989-1990, Nankai Ser. Pure Appl. Math. Theor. Phys. 3, 189-199 (1992)].
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    quadratic diophantine equations
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    solutions
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    solvabilities
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