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Part of the book series: Undergraduate Texts in Mathematics ((UTM))

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Abstract

We have already encountered Diophantine equations in Chapter 1. For example, we investigated in detail first-degree equations with two unknowns (Sections 1.29–1.30), and found a presentation for all Pythagorean triples (Sections 1.21–1.24). In Chapter 4 we studied which positive integers can be represented as the sum of two Squares. We will return to the question in Section 4. We will now consider a collection of similar questions.

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References

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Erdős, P., Surányi, J. (2003). Diophantine Problems. In: Topics in the Theory of Numbers. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0015-1_7

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  • DOI: https://doi.org/10.1007/978-1-4613-0015-1_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6545-0

  • Online ISBN: 978-1-4613-0015-1

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