Effective estimates from below of the norms of ideals of an imaginary quadratic field
Sbornik. Mathematics, Tome 11 (1970) no. 1, pp. 47-58

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $K=Q(\sqrt{-\Delta})$ be an imaginary quadratic field with discriminant $-\Delta$, and with ideal class number $h(\Delta)$. It is proved that there exists an ideal class in which the norm of all the integral ideals is not less than $(\lg\Delta)^{-c}\sqrt\Delta$, where the constant $c=c(h)$ can be effectively computed for given $h$. Bibliography: 9 titles.
@article{SM_1970_11_1_a2,
     author = {E. A. Anfert'eva and N. G. Chudakov},
     title = {Effective estimates from below of the norms of ideals of an imaginary quadratic field},
     journal = {Sbornik. Mathematics},
     pages = {47--58},
     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1970_11_1_a2/}
}
TY  - JOUR
AU  - E. A. Anfert'eva
AU  - N. G. Chudakov
TI  - Effective estimates from below of the norms of ideals of an imaginary quadratic field
JO  - Sbornik. Mathematics
PY  - 1970
SP  - 47
EP  - 58
VL  - 11
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1970_11_1_a2/
LA  - en
ID  - SM_1970_11_1_a2
ER  - 
%0 Journal Article
%A E. A. Anfert'eva
%A N. G. Chudakov
%T Effective estimates from below of the norms of ideals of an imaginary quadratic field
%J Sbornik. Mathematics
%D 1970
%P 47-58
%V 11
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1970_11_1_a2/
%G en
%F SM_1970_11_1_a2
E. A. Anfert'eva; N. G. Chudakov. Effective estimates from below of the norms of ideals of an imaginary quadratic field. Sbornik. Mathematics, Tome 11 (1970) no. 1, pp. 47-58. http://geodesic.mathdoc.fr/item/SM_1970_11_1_a2/