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

• Autorzy: Francesco Amoroso
• Języki publikacji: EN

Kategorie tematyczne

• 11J25: Diophantine inequalities
• 11J82: Measures of irrationality and of transcendence

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1994
• Tom: 68
• Numer: 2
• Strony: 101-112

Daty

wydano

1994

otrzymano

1992-09-07

poprawiono

1994-04-28

Twórcy

autor

Francesco Amoroso

• Dipartimento di Matematica, via F. Buonarroti 2, 56127 Pisa, Italy

Bibliografia

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