Abstract
This chapter can be considered as the culmination of the tools that we have introduced in the first part of this book. We have already solved a number of Diophantine problems, but here we are going to solve many more. Although we have already mentioned that each Diophantine equation poses a new problem, there does exist a large number of general techniques, and in this introduction we will briefly describe these techniques and give a simple example of each (where “simple” is relative to the technique: for instance FLT is the “simplest” example (!) of the use of Ribet’s level-lowering theorem, which we will study in Chapter 15).
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© 2007 Springer Science + Business Media, LLC
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(2007). Some Diophantine Equations. In: Number Theory. Graduate Texts in Mathematics, vol 239. Springer, New York, NY. https://doi.org/10.1007/978-0-387-49923-9_6
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DOI: https://doi.org/10.1007/978-0-387-49923-9_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-49922-2
Online ISBN: 978-0-387-49923-9
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