Geodesic
Local Diophantine Nullstellen inequalities
Journal of the American Mathematical Society, Tome 01 (1988) no. 2, pp. 311-322

Voir la notice de l'article provenant de la source American Mathematical Society

@article{10_1090_S0894_0347_1988_0928261_3,
     author = {Brownawell, W. Dale},
     title = {Local {Diophantine} {Nullstellen} inequalities},
     journal = {Journal of the American Mathematical Society},
     pages = {311--322},
     publisher = {mathdoc},
     volume = {01},
     number = {2},
     year = {1988},
     doi = {10.1090/S0894-0347-1988-0928261-3},
     url = {http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1988-0928261-3/}
}
TY  - JOUR
AU  - Brownawell, W. Dale
TI  - Local Diophantine Nullstellen inequalities
JO  - Journal of the American Mathematical Society
PY  - 1988
SP  - 311
EP  - 322
VL  - 01
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1988-0928261-3/
DO  - 10.1090/S0894-0347-1988-0928261-3
ID  - 10_1090_S0894_0347_1988_0928261_3
ER  - 
%0 Journal Article
%A Brownawell, W. Dale
%T Local Diophantine Nullstellen inequalities
%J Journal of the American Mathematical Society
%D 1988
%P 311-322
%V 01
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1988-0928261-3/
%R 10.1090/S0894-0347-1988-0928261-3
%F 10_1090_S0894_0347_1988_0928261_3
Brownawell, W. Dale. Local Diophantine Nullstellen inequalities. Journal of the American Mathematical Society, Tome 01 (1988) no. 2, pp. 311-322. doi: 10.1090/S0894-0347-1988-0928261-3

[1] Brownawell, W. D. Some remarks on semi-resultants 1977 205 210

[2] Brownawell, W. Dale Bounds for the degrees in the Nullstellensatz Ann. of Math. (2) 1987 577 591

[3] Brownawell, W. Dale Large transcendence degree revisited. I. Exponential and non-CM cases 1987 149 173

[4] Brownawell, W. Dale Note on a paper of P. Philippon: “Zero estimates in commutative algebraic groups” [Bull. Soc. Math. France 114 (1986), no. 3, 355–383] Michigan Math. J. 1987 461 463

[5] Brownawell, W. Dale, Tubbs, Robert Large transcendence degree revisited. II. The CM case 1987 175 188

[6] Chudnovsky, Gregory V. Some analytic methods in the theory of transcendental numbers 1984 27 122

[7] Gel′Fond, A. O. Transcendental and algebraic numbers 1960

[8] Masser, D. W., Wã¼Stholz, G. Fields of large transcendence degree generated by values of elliptic functions Invent. Math. 1983 407 464

[9] Nesterenko, Ju. V. Estimate of the orders of the zeroes of functions of a certain class, and their application in the theory of transcendental numbers Izv. Akad. Nauk SSSR Ser. Mat. 1977

[10] Nesterenko, Yu. V. Estimates for the characteristic function of a prime ideal Mat. Sb. (N.S.) 1984 11 34

[11] Nesterenko, Yu. V. Algebraic independence of algebraic powers of algebraic numbers Mat. Sb. (N.S.) 1984 435 459

[12] Nesterenko, Yu. V. The measure of algebraic independence of values of certain functions Mat. Sb. (N.S.) 1985

[13] Philippon, Patrice Critères pour l’indépendance algébrique Inst. Hautes Études Sci. Publ. Math. 1986 5 52

[14] Philippon, Patrice Lemmes de zéros dans les groupes algébriques commutatifs Bull. Soc. Math. France 1986 355 383

Cité par Sources :