The main theorem gives necessary conditions and sufficient conditions for to have class number prime to 3. These conditions involve only the rational prime factorization of and congruences mod 27 of the prime factors of . They give necessary and sufficient conditions for most .
On détermine des conditions nécessaires et des conditions suffisantes pour que le nombre de classes de soit premier à 3. Ces conditions n’utilisent que la factorisation en nombres premiers rationnels de et des congruences mod 27 de ces facteurs premiers. Ils donnent des conditions nécessaires et suffisantes pour presque tout .
@article{AIF_1980__30_2_1_0, author = {Walter, Colin D.}, title = {Pure fields of degree 9 with class number prime to 3}, journal = {Annales de l'Institut Fourier}, pages = {1--15}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {30}, number = {2}, year = {1980}, doi = {10.5802/aif.781}, zbl = {0408.12009}, mrnumber = {82b:12006}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.781/} }
TY - JOUR AU - Walter, Colin D. TI - Pure fields of degree 9 with class number prime to 3 JO - Annales de l'Institut Fourier PY - 1980 SP - 1 EP - 15 VL - 30 IS - 2 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.781/ DO - 10.5802/aif.781 LA - en ID - AIF_1980__30_2_1_0 ER -
Walter, Colin D. Pure fields of degree 9 with class number prime to 3. Annales de l'Institut Fourier, Volume 30 (1980) no. 2, pp. 1-15. doi : 10.5802/aif.781. https://aif.centre-mersenne.org/articles/10.5802/aif.781/
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