Some Diophantine Equations
Identifieur interne : 000143 ( Main/Exploration ); précédent : 000142; suivant : 000144Some Diophantine Equations
Auteurs : Henri Cohen [France]Source :
- Graduate Texts in Mathematics [ 0072-5285 ] ; 2007.
Abstract
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).
Url:
DOI: 10.1007/978-0-387-49923-9_6
Affiliations:
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