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A note on linear forms in a class of E-functions and G-functions

Published online by Cambridge University Press:  09 April 2009

Xu Guangshan
Xu Guangshan
Affiliation:
Institute of MathematicsAcademia Sinica Beijing People's Republic of China
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Abstract

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This note establishes estimates for lower bounds of linear forms at algebraic points of E-functions and G-functions defined over a general algebraic number field.

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 35 , Issue 3 , December 1983 , pp. 338 - 348
Copyright
Copyright © Australian Mathematical Society 1983

References

[1]Galochkin, A. I. ‘Lower bounds of linear forms of G-functions’, Math. Zametki 4 (1975), 541–552.Google Scholar
[2]Makarov, Yu. N., ‘Estimates of the measure of linear independence of the values of E-functions’, Vestnik Moskov. Univ. Ser. I Mat. Meh. 2 (1978), 3–12.Google Scholar
[3]Shidlovskii, A. B., ‘On the estimates of the algebraic independence measures of the values of E-functions’, J. Austral. Math. Soc. Ser. A 27 (1979), 385–407.CrossRefGoogle Scholar
[4]Väänänen, K., ‘On linear forms of a certain class of G-functions’, Acta Arith. 36 (1980), 273–295.CrossRefGoogle Scholar
[5]Waldschmidt, M., Transcendence methods (Queen's Paper in Pure and Applied Math. 52 (1980)).Google Scholar
[6]Guangshan, Xu, ‘On lower estimate of linear forms involving a class of G-functions’, Acta Math. Sinica 24 (1981), 578–586.Google Scholar
[7]Guangshan, Xu and Lianxiang, Wang, ‘On explicit estimates for linear forms in the values of a class of E-functions’, Bull. Austral. Math. Soc. 25 (1982), 37–69.CrossRefGoogle Scholar