Results 81 to 90 of about 387,244 (233)

Character Sums in Algebraic Number Fields

Journal of Number Theory, 1994
Let \(K\) be an algebraic number field of degree \([K:\mathbb{Q}]= r_ 1+ 2r_ 2\). Let \(e_ p=1\) for \(p=1,\dots,r_ 1\), \(e_ p=2\) for \(p= r_ 1+1,\dots, r+1= r_ 1+r_ 2\). Put \(X= \prod_{p=1}^{r+1} x_ p^{e_ p}\), where \(x=(x_ 1,\dots, x_{r+1})\) is a vector of positive real numbers.
openaire   +2 more sources

Chapter 2. Part 2. Full $G_{\mathfrak p}$-subfields over algebraic number fields [PDF]

, 2008
Yasutaka Ihara, Yasutaka Ihara
openalex   +1 more source

The number of rational points of some classes of algebraic varieties over finite fields

Open Mathematics
Let Fq{{\mathbb{F}}}_{q} be the finite field of characteristic pp and Fq*=Fq\{0}{{\mathbb{F}}}_{q}^{* }\left={{\mathbb{F}}}_{q}\backslash \left\{0\right\}.
Zhu Guangyan, Fang Yingjue, Luo Yuanyuan, Lin Zongbing   +3 more
doaj   +1 more source

On finite arithmetic groups [PDF]

International Journal of Group Theory, 2013
Let $F$ be a finite extension of $Bbb Q$, ${Bbb Q}_p$ or a globalfield of positive characteristic, and let $E/F$ be a Galois extension.We study the realization fields offinite subgroups $G$ of $GL_n(E)$ stable under the naturaloperation of the Galois ...
Dmitry Malinin
doaj  

Steinitz classes of tamely ramified Galois extensions of algebraic number fields [PDF]

, 2010
Alessandro Cobbe
openalex   +1 more source

Transcendental entire functions mapping every algebraic number field into itself [PDF]

, 1968
A. J. van der Poorten
openalex   +1 more source

On the Genus Field in Algebraic Number Fields

Tokyo Journal of Mathematics, 1983
Sei \(K/k\) eine endliche galoissche Erweiterung algebraischer Zahlkörper, \(\mathfrak M\) ein Modul von \(K\) (der unendliche Primstellen enthalten kann), \(K(\mathfrak M)\) der Strahlklassenkörper von \(K \bmod {\mathfrak M}\), \(E/k\) die maximale abelsche Erweiterung in \(K(\mathfrak M)\) und \(K^*(\mathfrak M) = E\cdot K\); \(K^*(\mathfrak M ...
openaire   +3 more sources

On the Galois groups of certain algebraic number fields

, 2012
Byron William Straight
openalex   +1 more source

The Euler number and other arithmetical invariants for finite Galois extensions of algebraic number fields [PDF]

, 1987
Shin-ichi Katayama
openalex   +1 more source

Formalization and implementation of logical-probabilistic and logical-algebraic operational models of the functional architecture of cluster computing systems

Известия высших учебных заведений. Поволжский регион:Технические науки
Background. Based on the conducted study of developments in the field of functional architecture of cluster computing systems, the relevance of work in this direction is shown, which is due to the increasing demand for affordable high-performance ...
G.V. Petushkov, A.S. Sigov
doaj   +1 more source