Abstract
As in Sect. 125 let be a number in the field k(ζ) such that \({\text{M = }}\sqrt[l]{\mu }\) does not lie in k(ζ) and let k(M,ζ) be the Kummer field generated by M and ζ for each number A in k(M,ζ) we shall denote its relative norm with respect to k(ζ) by N k (A).
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© 1998 Springer-Verlag Berlin Heidelberg
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Hilbert, D. (1998). Norm Residues and Non-residues of a Kummer Field. In: The Theory of Algebraic Number Fields. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03545-0_29
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DOI: https://doi.org/10.1007/978-3-662-03545-0_29
Publisher Name: Springer, Berlin, Heidelberg
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