Geodesic
On simultaneous Diophantine approximations. Vectors of given Diophantine type
Matematičeskie zametki, Tome 61 (1997) no. 5, pp. 706-716

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

For any monotone function $\psi(y)=O(y^{-1/s})$, we prove the existence of a continual family of vectors $(\alpha_1,\dots,\alpha_s)\in\mathbb R^s$ admitting infinitely many simultaneous $\psi$-approximations, but no $c\psi$-approximations with some constant $c>0$. 
@article{MZM_1997_61_5_a7,
     author = {N. G. Moshchevitin},
     title = {On simultaneous {Diophantine} approximations. {Vectors} of given {Diophantine} type},
     journal = {Matemati\v{c}eskie zametki},
     pages = {706--716},
     publisher = {mathdoc},
     volume = {61},
     number = {5},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_61_5_a7/}
}
TY  - JOUR
AU  - N. G. Moshchevitin
TI  - On simultaneous Diophantine approximations. Vectors of given Diophantine type
JO  - Matematičeskie zametki
PY  - 1997
SP  - 706
EP  - 716
VL  - 61
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1997_61_5_a7/
LA  - ru
ID  - MZM_1997_61_5_a7
ER  - 
%0 Journal Article
%A N. G. Moshchevitin
%T On simultaneous Diophantine approximations. Vectors of given Diophantine type
%J Matematičeskie zametki
%D 1997
%P 706-716
%V 61
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1997_61_5_a7/
%G ru
%F MZM_1997_61_5_a7
N. G. Moshchevitin. On simultaneous Diophantine approximations. Vectors of given Diophantine type. Matematičeskie zametki, Tome 61 (1997) no. 5, pp. 706-716. http://geodesic.mathdoc.fr/item/MZM_1997_61_5_a7/