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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 ( n 9 ) 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 .

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