Abstract
The main goal of this chapter is to lay out basic concepts needed in our study in Diophantine Analysis. The first section contains fundamental results pertaining to continued fractions, some without proofs. The Theory of Continued Fractions is not new but it plays a growing role in contemporary mathematics.
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Andreescu, T., Andrica, D. (2015). Continued Fractions, Diophantine Approximation, and Quadratic Rings. In: Quadratic Diophantine Equations. Developments in Mathematics, vol 40. Springer, New York, NY. https://doi.org/10.1007/978-0-387-54109-9_2
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DOI: https://doi.org/10.1007/978-0-387-54109-9_2
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