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Cubic and Quartic Diophantine Equations

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A Journey Through The Realm of Numbers

Part of the book series: Springer Undergraduate Mathematics Series ((SUMSR))

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Abstract

In Chapters 3 and 4 we were concerned with quadratic equations in two variables, but were only allowing ourselves integer solutions. An equation involving polynomials together with the constraint that we are only interested in integer solutions is called a Diophantine equation. In this sense we have been considering ‘quadratic Diophantine equations’.

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Aka, M., Einsiedler, M., Ward, T. (2020). Cubic and Quartic Diophantine Equations. In: A Journey Through The Realm of Numbers. Springer Undergraduate Mathematics Series(). Springer, Cham. https://doi.org/10.1007/978-3-030-55233-6_6

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