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On fundamental solutions of binary quadratic form equations

9

TL;DRAbstract

We show that, with suitable modification, the upper bound estimates of Stolt for the fundamental integer solutions of the Diophantine equation $Au^2+Buv+Cv^2=N$, where $A>0$, $N\not =0$ and $B^2-4AC$ is positive and nonsquare, in fact characterize the fun

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We show that, with suitable modification, the upper bound estimates of Stolt for the fundamental integer solutions of the Diophantine equation $Au^2+Buv+Cv^2=N$, where $A>0$, $N\not =0$ and $B^2-4AC$ is positive and nonsquare, in fact characterize the fun

Keywords

Diophantine equationMathematicsInteger (computer science)Binary numberQuadratic equationDiophantine setUpper and lower boundsThue equation

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