Zobrazeno 1 - 10 of 94 pro vyhledávání: '"Humio Ichimura"'
1
On the class groups of certain imaginary cyclic fields of 2-power degree
Autor: Humio ICHIMURA, Hiroki SUMIDA-TAKAHASHI
Publikováno v: Journal of the Mathematical Society of Japan. 74(3):945-972
Let p be an odd prime number and let 2e+1 be the highest power of 2 dividing p − 1. For 0 ≤ n ≤ e, let kn be the real cyclic field of conductor p and degree 2n. For a certain imaginary quadratic field L0, we put Ln = L0kn. For 0 ≤ n ≤ e −
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93c6d884751210db29b255ce22b802d4
http://repo.lib.tokushima-u.ac.jp/117035
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2
On the Class Group of an Imaginary Cyclic Field of Conductor 8p and 2-power Degree
Autor: Hiroki Sumida-Takahashi, Humio Ichimura
Publikováno v: Tokyo Journal of Mathematics. 44(1):157-173
Let $p=2^{e+1}q+1$ be an odd prime number with $2 \nmid q$. Let $K$ be the imaginary cyclic field of conductor $p$ and degree $2^{e+1}$. We denote by $\mathcal{F}$ the imaginary quadratic subextension of the imaginary $(2,\,2)$-extension $K(\sqrt{2})
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba897a98d163d3aebaaaac14e22852ea
http://repo.lib.tokushima-u.ac.jp/115612
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8
Triviality of Iwasawa module associated to some abelian fields of prime conductors
Autor: Humio Ichimura
Publikováno v: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 88:51-66
Let p be an odd prime number and $$\ell $$ an odd prime number dividing $$p-1$$ . We denote by $$F=F_{p,\ell }$$ the real abelian field of conductor p and degree $$\ell $$ , and by $$h_F$$ the class number of F. For a prime number $$r \ne p,\,\ell $$
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a5ccc7d48b16e490710b74748c247839
https://doi.org/10.1007/s12188-017-0186-1
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9
Corrigendum to 'Real abelian fields satisfying the Hilbert-Speiser condition for some small primes $p$'
Autor: Humio Ichimura
Publikováno v: Proc. Japan Acad. Ser. A Math. Sci. 95, no. 7 (2019), 80-82
We correct and change Proposition 1 and the proof of Proposition 2 of the previous paper [7].
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9058b9fc33ed3e5a1fa03cc2458bd223
https://doi.org/10.3792/pjaa.95.80
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10
Note on class number parity of an abelian field of prime conductor, II
Autor: Humio Ichimura
Publikováno v: Kodai Math. J. 42, no. 1 (2019), 99-110
For a fixed integer $n \geq 1$, let $p=2n\ell+1$ be a prime number with an odd prime number $\ell$, and let $F=F_{p,\ell}$ be the real abelian field of conductor $p$ and degree $\ell$. We show that the class number $h_F$ of $F$ is odd when 2 remains
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd8a7091409e647210ccbf121b48215c
https://doi.org/10.2996/kmj/1552982508
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