Values of polynomials with integer coefficients and distance to their common zeros

Francesco Amoroso

Acta Arithmetica (1994)

  • Volume: 68, Issue: 2, page 101-112
  • ISSN: 0065-1036

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Francesco Amoroso. "Values of polynomials with integer coefficients and distance to their common zeros." Acta Arithmetica 68.2 (1994): 101-112. <http://eudml.org/doc/206647>.

@article{FrancescoAmoroso1994,
author = {Francesco Amoroso},
journal = {Acta Arithmetica},
keywords = {polynomials; Lojasiewicz's inequality; transcendence measures; approximation measures; logarithmic size; common zeros},
language = {eng},
number = {2},
pages = {101-112},
title = {Values of polynomials with integer coefficients and distance to their common zeros},
url = {http://eudml.org/doc/206647},
volume = {68},
year = {1994},
}

TY - JOUR
AU - Francesco Amoroso
TI - Values of polynomials with integer coefficients and distance to their common zeros
JO - Acta Arithmetica
PY - 1994
VL - 68
IS - 2
SP - 101
EP - 112
LA - eng
KW - polynomials; Lojasiewicz's inequality; transcendence measures; approximation measures; logarithmic size; common zeros
UR - http://eudml.org/doc/206647
ER -

References

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  1. [A] F. Amoroso, Polynomials with high multiplicity, Acta Arith. 56 (1990), 345-364. Zbl0688.10034
  2. [B] W. D. Brownawell, Local diophantine Nullstellen inequalities, J. Amer. Math. Soc. 1 (1988), 311-322. Zbl0651.10022
  3. [C] G. V. Chudnovsky, Contribution to the theory of transcendental numbers, Math. Surveys Monographs 19, Amer. Math. Soc., 1984. 
  4. [G] A. O. Gelfond, Transcendental and Algebraic Numbers, Dover, New York, 1960. Zbl0090.26103
  5. [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. Zbl0762.14001
  6. [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. 
  7. [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. Zbl0549.10023
  8. [N3] Yu. V. Nesterenko, On a measure of the algebraic independence of the values of certain functions, Math. USSR-Sb. 56 (1987), 545-567. Zbl0608.10034
  9. [P1] P. Philippon, Critères pour l'indépendance algébrique, Inst. Hautes Études Sci. Publ. Math. 64 (1986), 5-52. 
  10. [P2] P. Philippon, Sur les mesures d'indépendance algébrique, in: Séminaire de Théorie des Nombres, Paris 1983-84, Birkhäuser, 1985, 219-233. 
  11. [W] M. Waldschmidt, Nombres transcendants, Springer, Berlin, 1974. Zbl0302.10030

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