Geodesic
On Tate height and the representation of numbers by binary forms
Izvestiya. Mathematics, Tome 8 (1974) no. 3, pp. 463-476 
V. A. Dem'yanenko. On Tate height and the representation of numbers by binary forms. Izvestiya. Mathematics, Tome 8 (1974) no. 3, pp. 463-476. http://geodesic.mathdoc.fr/item/IM2_1974_8_3_a0/
@article{IM2_1974_8_3_a0,
     author = {V. A. Dem'yanenko},
     title = {On {Tate} height and the representation of numbers by binary forms},
     journal = {Izvestiya. Mathematics},
     pages = {463--476},
     year = {1974},
     volume = {8},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1974_8_3_a0/}
}
TY  - JOUR
AU  - V. A. Dem'yanenko
TI  - On Tate height and the representation of numbers by binary forms
JO  - Izvestiya. Mathematics
PY  - 1974
SP  - 463
EP  - 476
VL  - 8
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/IM2_1974_8_3_a0/
LA  - en
ID  - IM2_1974_8_3_a0
ER  - 
%0 Journal Article
%A V. A. Dem'yanenko
%T On Tate height and the representation of numbers by binary forms
%J Izvestiya. Mathematics
%D 1974
%P 463-476
%V 8
%N 3
%U http://geodesic.mathdoc.fr/item/IM2_1974_8_3_a0/
%G en
%F IM2_1974_8_3_a0

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

We give a decomposition of the Tate height into components possessing quadraticity with respect to a group law, and on the basis of this decomposition we obtain an estimate for the number of $K$-points with integral coordinates of certain algebraic curves.

[1] Baker A., “Linear forms in the logarithms of algebraic numbers”, Mathematika, 13 (1966), 204–216 | MR | Zbl

[2] Demyanenko V. A., “Ratsionalnye tochki odnogo klassa algebraicheskikh krivykh”, Izv. AN SSSR. Ser. matem., 30 (1966), 1373–1396

[3] Demyanenko V. A., “O kruchenii ellipticheskikh krivykh”, Izv. AN SSSR, Ser. matem., 35 (1971), 280–307

[4] Demyanenko V. A., “Otsenka ostatochnogo chlena v formule Teita”, Matem. zametki, 3 (1968), 271–278

[5] Demyanenko V. A., “O ravnomernoi ogranichennosti krucheniya ellipticheskikh krivykh nad algebraicheskimi chislovymi polyami”, Izv. AN SSSR. Ser. matem., 36 (1972), 484–496

[6] Demyanenko V. A., “O predstavlenii chisel binarnymi bikvadratichnymi formami”, Matem. sb., 80(122) (1969), 445–452