Výsledky vyhledávání - "Keiichi Komatsu"

Class number calculation using Siegel functions

Publikováno v: LMS Journal of Computation and Mathematics. 17:295-302

We propose a fast method of calculating the $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\math

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b68c6a8cc13ba000461960447e9f89df
https://doi.org/10.1112/s146115701400014x

Zobrazit plný text záznamu

On the Iwasawa $\lambda$-invariant of the cyclotomic $\mathbb{Z}_2$-extension of $\mathbb{Q}(\sqrt{p})$, III

Autor: Takashi Fukuda, Keiichi Komatsu, Manabu Ozaki, Takae Tsuji

Publikováno v: Funct. Approx. Comment. Math. 54, no. 1 (2016), 7-17

In the preceding papers, two of authors developed criteria for Greenberg conjecture of the cyclotomic $\mathbb{Z}_2$-extension of $k=\mathbb{Q}(\sqrt{p})$ with prime number $p$. Criteria and numerical algorithm in [5], [3] and [6] enable us to show $

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2274353ae4950ac3b2775f8cc1e5df4a
http://projecteuclid.org/euclid.facm/1458656158

Zobrazit plný text záznamu

WEBER'S CLASS NUMBER PROBLEM IN THE CYCLOTOMIC ℤ2-EXTENSION OF ℚ, III

Autor: Keiichi Komatsu, Takashi Fukuda

Publikováno v: International Journal of Number Theory. :1627-1635

Let hn denote the class number of [Formula: see text] which is a cyclic extension of degree 2n over the rational number field ℚ. There are no known examples of hn > 1. We prove that a prime number ℓ does not divide hn for all n ≥ 1 if ℓ is le

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::370db075967b005e6b8bff570bf6c1b0
https://doi.org/10.1142/s1793042111004782

Zobrazit plný text záznamu

On the Relation between Liberal Arts and Specialized Education in the Department of Physical Education : A Response to the Proposal of Science Council of Japan : Culture and The Liberal Arts in the 21st Century

Autor: Keiichi, Komatsu, Sendai University

Publikováno v: 仙台大学紀要 = Bulletin of Sendai College. 42(1):1-12

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::a74af4e2f99d745ce893cfc66e929218
http://id.nii.ac.jp/1522/00000921/

Zobrazit plný text záznamu

Weber’s class number problem in the cyclotomic \mathbb{Z}_2-extension of \mathbb{Q}, II

Autor: Keiichi Komatsu, Takashi Fukuda

Publikováno v: Journal de Théorie des Nombres de Bordeaux. 22:359-368

Soit h n le nombres de classes du n-ieme etage de la ℤ 2 - extension cyclotomique de ℚ. Weber a prouve que h n (n > 1) est impair et Horie a prouve que h n (n > 1) n'est divisible par aucun nombre premier l satisfaisant l ≡ 3, 5 (mod 8). Dans u

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::aff2913c72b9d72caeadc36fb374ff44
https://doi.org/10.5802/jtnb.720

Zobrazit plný text záznamu

On the Iwasawa $\lambda $-invariant of the cyclotomic $\mathbb {Z}_2$-extension of $\mathbb {Q}(\sqrt {p} )$

Autor: Keiichi Komatsu, Takashi Fukuda

Publikováno v: Mathematics of Computation. 78:1797-1808

We study the Iwasawa λ-invariant of the cyclotomic ℤ 2 -extension of Q(p) for an odd prime number p which satisfies p ≡ 1 (mod 16) relating it to units having certain properties. We give an upper bound of λ and show λ = 0 in certain cases. We

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7e14866d1508c65840f14129a974fcea
https://doi.org/10.1090/s0025-5718-09-02124-3

Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání