# Rational approximations to linear forms in values of G-functions

Acta Arithmetica (1995)

- Volume: 70, Issue: 4, page 313-341
- ISSN: 0065-1036

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top## How to cite

topMakoto Nagata. "Rational approximations to linear forms in values of G-functions." Acta Arithmetica 70.4 (1995): 313-341. <http://eudml.org/doc/206754>.

@article{MakotoNagata1995,

author = {Makoto Nagata},

journal = {Acta Arithmetica},

keywords = {values of -functions; linear independence; measures of linear independence},

language = {eng},

number = {4},

pages = {313-341},

title = {Rational approximations to linear forms in values of G-functions},

url = {http://eudml.org/doc/206754},

volume = {70},

year = {1995},

}

TY - JOUR

AU - Makoto Nagata

TI - Rational approximations to linear forms in values of G-functions

JO - Acta Arithmetica

PY - 1995

VL - 70

IS - 4

SP - 313

EP - 341

LA - eng

KW - values of -functions; linear independence; measures of linear independence

UR - http://eudml.org/doc/206754

ER -

## References

top- [1] Y. André, G-functions and Geometry, Max-Planck-Institut, Bonn, 1989.
- [2] A. Baker, Transcendental Number Theory, Cambridge University Press, Cambridge, 1975. Zbl0297.10013
- [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. Zbl0561.10016
- [5] G. V. Chudnovsky, On some applications of diophantine approximations, Proc. Nat. Acad. Sci. U.S.A. 81 (1984), 1926-1930. Zbl0544.10034
- [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). Zbl56.0180.05
- [9] K. Väänänen, On linear forms of a certain class of G-functions and p-adic G-functions, Acta Arith. 36 (1980), 273-295 Zbl0369.10021

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