We generalize the recent result of Ichimura concerning relative class numbers of subfields of the -th cyclotomic field.
Dans cet article, nous généralisons le résultat récent d’Ichimura sur les nombres de classes relatifs des sous-corps du -ième corps cyclotomique.
Accepted:
Revised after acceptance:
Published online:
Mots-clés : Cyclotomic field, class number
Takashi Fukuda 1

@article{JTNB_2022__34_1_135_0, author = {Takashi Fukuda}, title = {Relative class numbers of subfields of the $p$-th cyclotomic field}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {135--140}, publisher = {Soci\'et\'e Arithm\'etique de Bordeaux}, volume = {34}, number = {1}, year = {2022}, doi = {10.5802/jtnb.1195}, language = {en}, url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1195/} }
TY - JOUR AU - Takashi Fukuda TI - Relative class numbers of subfields of the $p$-th cyclotomic field JO - Journal de théorie des nombres de Bordeaux PY - 2022 SP - 135 EP - 140 VL - 34 IS - 1 PB - Société Arithmétique de Bordeaux UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1195/ DO - 10.5802/jtnb.1195 LA - en ID - JTNB_2022__34_1_135_0 ER -
%0 Journal Article %A Takashi Fukuda %T Relative class numbers of subfields of the $p$-th cyclotomic field %J Journal de théorie des nombres de Bordeaux %D 2022 %P 135-140 %V 34 %N 1 %I Société Arithmétique de Bordeaux %U https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1195/ %R 10.5802/jtnb.1195 %G en %F JTNB_2022__34_1_135_0
Takashi Fukuda. Relative class numbers of subfields of the $p$-th cyclotomic field. Journal de théorie des nombres de Bordeaux, Volume 34 (2022) no. 1, pp. 135-140. doi : 10.5802/jtnb.1195. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1195/
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