Rational approximations to linear forms in values of G-functions

• Autorzy: Makoto Nagata
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 70
• Numer: 4
• Strony: 313-341

Daty

wydano

1995

otrzymano

1992-06-22

poprawiono

1994-08-29

Twórcy

autor

Makoto Nagata

• Tokyo Institute of Technology, Meguroku, Oh-Okayama, Tokyo 152, Japan

Bibliografia

• [1] Y. André, G-functions and Geometry, Max-Planck-Institut, Bonn, 1989.
• [2] A. Baker, Transcendental Number Theory, Cambridge University Press, Cambridge, 1975.
• [3] E. Bombieri, On G-functions, in: Recent Progress in Analytic Number Theory 2, Academic Press, New York, 1981, 1-67.
• [4] D. V. Chudnovsky and G. V. Chudnovsky, Applications of Padé approximations to diophantine inequalities in values of G-functions, in: Lecture Notes in Math. 1135, Springer, Berlin, 1985, 9-51.
• [5] G. V. Chudnovsky, On some applications of diophantine approximations, Proc. Nat. Acad. Sci. U.S.A. 81 (1984), 1926-1930.
• [6] A. I. Galochkin, Estimates from below of polynomials in the values of analytic functions of a certain class, Mat. Sb. 95 (137) (1974), 396-417 (in Russian); English transl.: Math. USSR-Sb. 24 (1974), 385-407.
• [7] A. B. Shidlovskiĭ, Transcendental Numbers, Walter de Gruyter, Berlin, 1989.
• [8] C. L. Siegel, Über einige Anwendungen diophantischer Approximationen, Abh. Preuss. Akad. Wiss., Phys. Math. Kl. nr. 1 (1929).
• [9] K. Väänänen, On linear forms of a certain class of G-functions and p-adic G-functions, Acta Arith. 36 (1980), 273-295