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On the arithmetic properties of the values of G-functions

Published online by Cambridge University Press:  09 April 2009

K. Väänänen  and
Xu Guangshan
K. Väänänen
Affiliation:
Department of Mathematics, University of Oulu, Oulu, Finland
Xu Guangshan
Affiliation:
Institute of Mathematics, Academia Sinica Beijing, China
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Abstract

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In a recent paper Chudnovsky considered the arithmetic properties of certain values of classical Siegel G-function solutions of a system of linear homogeneous differential equations without any restrictive conditions. The present paper generalizes some results of Chudnovsky in both the archimedian and the p-adic case.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 47 , Issue 1 , August 1989 , pp. 71 - 82
Copyright
Copyright © Australian Mathematical Society 1989

References

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