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Subjects
11-XX Number theory
11Rxx Algebraic number theory: global fields
11R21 Other number fields

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Power integral bases in cubic relative extensions.

Gaál, István (2001)

Experimental Mathematics

Prime Ideal Decomposition in F (...).

H.B. Mann, W. Yslas Vélez (1976)

Monatshefte für Mathematik

Pure fields of degree 9 with class number prime to 3

Colin D. Walter (1980)

Annales de l'institut Fourier

The main theorem gives necessary conditions and sufficient conditions for $Q (\sqrt[9]{n})$ to have class number prime to 3. These conditions involve only the rational prime factorization of $n$ and congruences mod 27 of the prime factors of $n$ . They give necessary and sufficient conditions for most $n$ .

Currently displaying 1 – 3 of 3

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