Values of polynomials with integer coefficients and distance to their common zeros
Francesco Amoroso
Acta Arithmetica, Tome 68 (1994), p. 101-112 / Harvested from The Polish Digital Mathematics Library
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Publié le : 1994-01-01
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     author = {Francesco Amoroso},
     title = {Values of polynomials with integer coefficients and distance to their common zeros},
     journal = {Acta Arithmetica},
     volume = {68},
     year = {1994},
     pages = {101-112},
     zbl = {0814.11036},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav68i2p101bwm}
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Francesco Amoroso. Values of polynomials with integer coefficients and distance to their common zeros. Acta Arithmetica, Tome 68 (1994) pp. 101-112. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav68i2p101bwm/

[000] [A] F. Amoroso, Polynomials with high multiplicity, Acta Arith. 56 (1990), 345-364. | Zbl 0688.10034

[001] [B] W. D. Brownawell, Local diophantine Nullstellen inequalities, J. Amer. Math. Soc. 1 (1988), 311-322. | Zbl 0651.10022

[002] [C] G. V. Chudnovsky, Contribution to the theory of transcendental numbers, Math. Surveys Monographs 19, Amer. Math. Soc., 1984.

[003] [G] A. O. Gelfond, Transcendental and Algebraic Numbers, Dover, New York, 1960. | Zbl 0090.26103

[004] [J-K-S] S. Ji, J. Kollár and B. Shiffman, A global Łojasiewicz inequality for algebraic varieties, Trans. Amer. Math. Soc. 329 (1992), 813-818. | Zbl 0762.14001

[005] [N1] Yu. V. Nesterenko, Estimates for the characteristic function of a prime ideal, Mat. Sb. 123 (1984), 11-34 = Math. USSR-Sb. 51 (1985), 9-32.

[006] [N2] Yu. V. Nesterenko, On algebraic independence of algebraic powers of algebraic numbers, Mat. Sb. 123 (1984), 435-459 = Math. USSR-Sb. 51 (1985), 429-453. | Zbl 0549.10023

[007] [N3] Yu. V. Nesterenko, On a measure of the algebraic independence of the values of certain functions, Math. USSR-Sb. 56 (1987), 545-567. | Zbl 0608.10034

[008] [P1] P. Philippon, Critères pour l'indépendance algébrique, Inst. Hautes Études Sci. Publ. Math. 64 (1986), 5-52.

[009] [P2] P. Philippon, Sur les mesures d'indépendance algébrique, in: Séminaire de Théorie des Nombres, Paris 1983-84, Birkhäuser, 1985, 219-233.

[010] [W] M. Waldschmidt, Nombres transcendants, Springer, Berlin, 1974. | Zbl 0302.10030