Abstract
Cyclotomic fieldsCyclotomic field are the number fields generated over \(\mathbb {Q}\) by roots of unityRoot of unity. They played (and still play) an important role in developing modern algebraic number theory, most notably because of their connection with Fermat’s Last TheoremFermat, Pierre de!Fermat’s Last Theorem (see Sect. 9.4). Whole books have been written about cyclotomic fields, but we will just begin to develop a few of their properties.
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© 2014 Springer International Publishing Switzerland
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Jarvis, F. (2014). Cyclotomic Fields and the Fermat Equation. In: Algebraic Number Theory. Springer Undergraduate Mathematics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-07545-7_9
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DOI: https://doi.org/10.1007/978-3-319-07545-7_9
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