Applications of the Theory of Cyclotomic Fields to Quadratic Fields

David Hilbert

Chapter 27 in The Theory of Algebraic Number Fields, 1998, pp 217-222 from Springer

Abstract: Abstract If we apply to a quadratic subfield of the cyclotomic field of the m-th roots of unity some of the properties derived in the preceding chapters then we obtain new theorems about quadratic fields. We render this method even more fruitful by using it in conjunction with the results which we found in Part 3 by direct consideration of quadratic fields.

Date: 1998
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DOI: 10.1007/978-3-662-03545-0_27

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