no. 1
Relative class numbers of subfields of the p-th cyclotomic field
Fukuda, Takashi1
1 Department of Mathematics College of Industrial Technology Nihon University 2-11-1 Shin-ei, Narashino, Chiba, Japan
Journal de théorie des nombres de Bordeaux, Tome 34 (2022) no. 1, pp. 135-140.

Dans cet article, nous généralisons le résultat récent d’Ichimura sur les nombres de classes relatifs des sous-corps du p-ième corps cyclotomique.

We generalize the recent result of Ichimura concerning relative class numbers of subfields of the p-th cyclotomic field.

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Accepté le :
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DOI : 10.5802/jtnb.1195
Classification : 11R18, 11R23
Mots clés : Cyclotomic field, class number
Fukuda, Takashi 1

1 Department of Mathematics College of Industrial Technology Nihon University 2-11-1 Shin-ei, Narashino, Chiba, Japan 
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     title = {Relative class numbers of subfields of the $p$-th cyclotomic field},
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     publisher = {Soci\'et\'e Arithm\'etique de Bordeaux},
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Fukuda, Takashi. Relative class numbers of subfields of the $p$-th cyclotomic field. Journal de théorie des nombres de Bordeaux, Tome 34 (2022) no. 1, pp. 135-140. doi : 10.5802/jtnb.1195. http://www.numdam.org/articles/10.5802/jtnb.1195/

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[3] Ichimura, Humio Relative class numbers inside the pth cyclotomic field, Osaka J. Math., Volume 57 (2020) no. 4, pp. 949-959 | Zbl

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[5] The PARI Group PARI/GP version 2.12.1, 2019 (available from http://pari.math.u-bordeaux.fr/)

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