Geodesic
Metric theory of transcendental complex numbers in the areas of small measure
Trudy Instituta matematiki, Tome 19 (2011) no. 1, pp. 12-21 
I. V. Bulgakov. Metric theory of transcendental complex numbers in the areas of small measure. Trudy Instituta matematiki, Tome 19 (2011) no. 1, pp. 12-21. http://geodesic.mathdoc.fr/item/TIMB_2011_19_1_a1/
@article{TIMB_2011_19_1_a1,
     author = {I. V. Bulgakov},
     title = {Metric theory of transcendental complex numbers in the areas of small measure},
     journal = {Trudy Instituta matematiki},
     pages = {12--21},
     year = {2011},
     volume = {19},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2011_19_1_a1/}
}
TY  - JOUR
AU  - I. V. Bulgakov
TI  - Metric theory of transcendental complex numbers in the areas of small measure
JO  - Trudy Instituta matematiki
PY  - 2011
SP  - 12
EP  - 21
VL  - 19
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TIMB_2011_19_1_a1/
LA  - ru
ID  - TIMB_2011_19_1_a1
ER  - 
%0 Journal Article
%A I. V. Bulgakov
%T Metric theory of transcendental complex numbers in the areas of small measure
%J Trudy Instituta matematiki
%D 2011
%P 12-21
%V 19
%N 1
%U http://geodesic.mathdoc.fr/item/TIMB_2011_19_1_a1/
%G ru
%F TIMB_2011_19_1_a1

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

In the past 10 years, estimates for the number of rational points close to smooth curves. Generalization of these results on the distribution of algebraic conjugates requires new and effective metric theorems. In this paper we obtain effective as of the theorem, which generalizes Theorem Sprindzhuk.

[1] Sprindzhuk V.G., Problema Malera v metricheskoi teorii chisel, Minsk, 1967

[2] Bernik V.I., “Metricheskaya teorema o sovmestnom priblizhenii nulya znacheniyami tselochislennykh mnogochlenov”, Izv. AN SSSR. Ser. mat., 44:1 (1980), 24–45 | MR

[3] Bernik V.I., Zheludevich F.F., Neobkhodimoe uslovie vzaimnoi prostoty tselochislennykh mnogochlenov, prinimayuschikh malye znacheniya v nekotorom kruge, Minsk, 1983, Preprint / Akad. nauk Belorus. SSR, In-t mat. No25(182)

[4] Vasilev D.V., O tochnom priblizhenii nulya znacheniyami tselochislennykh mnogochlenov kompleksnoi peremennoi, Minsk, 1998, 15 pp., Preprint / NAN Belarusi, In-t mat.

[5] Bernik V.I., Shamukova N.V., “Priblizhenie deistvitelnykh chisel tselymi algebraicheskimi chislami i Teorema Khinchina”, Dokl. NAN RB, 50:3 (2006), 30–32 | MR | Zbl

[6] Beresnevich V., Rational points near manifolds and metric Diophantine approximation, Preprint, arXiv: 0904.0474