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Quadratic ideals, indefinite quadratic forms and some specific diophantine equations

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Akademik Birimler

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Tekcan, Ahmet
Kutlu, Seyma

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Soc Paranaense Matematica

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Let k >= 1 be an integer and let P = k + 2, Q = k and D = k(2) + 4. In this paper, we derived some algebraic properties of quadratic ideals I-gamma and indefinite quadratic forms F-gamma for quadratic irrationals gamma, and then we determine the set of all integer solutions of the Diophantine equation F-gamma(+/- k) (x, y) = +/- Q.

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Quadratic ideals, Indefinite quadratic forms, Diophantine equations, Science & technology, Physical sciences, Mathematics

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