Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 8

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

A note on the ideal class group of the cyclotomic ℤₚ-extension of a totally real number field

100%
Ichimura H.
Acta Arithmetica
|
2002
|
tom 105
|
nr 1
29-34
2
Content available remote

Quadratic function fields whose class numbers are not divisible by three

100%
Ichimura H.
Acta Arithmetica
|
1999
|
tom 91
|
nr 2
181-190
3
Content available remote

Normal integral bases and ray class groups

100%
Ichimura H.
Acta Arithmetica
|
2004
|
tom 114
|
nr 1
71-85
4
Content available remote

Nonvanishing of a certain Bernoulli number and a related topic

100%
Ichimura H.
Acta Arithmetica
|
2013
|
tom 159
|
nr 4
375-386
EN
Let $p = 1+2^{e+1}q$ be an odd prime number with q an odd integer. Let δ (resp. φ) be an odd (resp. even) Dirichlet character of conductor p and order $2^{e+1}$ (resp. order $d_{φ}$ dividing q), and let ψₙ be an even character of conductor $p^{n+1}$ and order pⁿ. We put χ = δφψₙ, whose value is contained in $Kₙ = ℚ(ζ_{(p-1)pⁿ})$. It is well known that the Bernoulli number $B_{1,χ}$ is not zero, which is shown in an analytic way. In the extreme cases $d_{φ} = 1$ and q, we show, in an algebraic and elementary manner, a stronger nonvanishing result: $Tr_{n/1}(ξB_{1,χ}) ≠ 0$ for any pⁿth root ξ of unity, where $Tr_{n/1}$ is the trace map from Kₙ to K₁.
5
Content available remote

Class group of a cyclotomic $ℤ_p × ℤ_ℓ$-extension

88%
Ichimura H.
Acta Arithmetica
|
2011
|
tom 150
|
nr 3
263-283
6
Content available remote

An infinite family of totally real number fields

64%
Ichimura H., Kawamoto F.
Acta Arithmetica
|
2003
|
tom 106
|
nr 2
171-181
7
Content available remote

Imaginary quadratic fields satisfying the Hilbert-Speiser type condition for a small prime p

64%
Ichimura H., Sumida-Takahashi H.
Acta Arithmetica
|
2007
|
tom 127
|
nr 2
179-191
8
Content available remote

On Hilbert-Speiser type imaginary quadratic fields

64%
Ichimura H., Sumida-Takahashi H.
Acta Arithmetica
|
2009
|
tom 136
|
nr 4
385-389
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.