Results 111 to 120 of about 379,338 (251)

Kronecker classes of algebraic number fields

Journal of Number Theory, 1977
Es sei \(K\) eine endliche Erweiterung des algebraischen Zahlkörpers \(k\). Die Menge aller Primdivisoren von \(k\), die einen Primteiler vom ersten Relativgrad in \(K\) haben, heißt die Kronecker-Menge von \(K/k\). Zwei endliche Erweiterungen heißen Kronecker-äquivalent, wenn sie bis auf eine endliche Menge die gleichen Kronecker-Mengen haben.
openaire   +3 more sources

Algebraic number fields [PDF]

, 1963
I. R. Šafarevič
openalex   +1 more source

Some theorems on prime ideals in algebraic number fields [PDF]

, 1963
G. J. Rieger
openalex   +1 more source

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   +3 more sources

Inequalities for ideal bases in algebraic number fields [PDF]

, 1964
K. Mahler
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  

On the Goldbach problem in an algebraic number field I. [PDF]

, 1960
Takayoshi Mitsui
openalex   +1 more source

Character sums in algebraic number fields

Journal of Number Theory, 1983
AbstractThe Pólya-Vinogradov inequality is generalized to arbitrary algebraic number fields K of finite degree over the rationals. The proof makes use of Siegel's summation formula and requires results about Hecke's zeta-functions with Grössencharacters.
openaire   +2 more sources

The Diophantine equation $x^4 + y^4 = 1$ in algebraic number fields [PDF]

, 1968
L. J. Mordell
openalex   +1 more source