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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For additional reading regarding the number of representations of integers as the sum of two Squares, see, for example, I. Niven, H. S. Zuckerman: An Introduction to the Theory of Numbers, Wiley, New York, 1991. A more general reference treating a broader ränge of questions is E. GROSS WALD: Representations of Integers as Sums of Squares, Springer, New York, 1985.
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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
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