Norm Residues and Non-residues of a Kummer Field

David Hilbert

Chapter 29 in The Theory of Algebraic Number Fields, 1998, pp 233-251 from Springer

Abstract: 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).

Date: 1998
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DOI: 10.1007/978-3-662-03545-0_29

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