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A p-adic analogue to a theorem by J. Popken

Published online by Cambridge University Press:  09 April 2009

K. Mahler
K. Mahler
Affiliation:
Department of Mathematics Institute of Advanced Studies Australian National UniversityCanberra
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Abstract

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It is proved that if is a formal power series with algebraic p-adic coefficients which satisfies an algebraic differential equation, then a constant y4 > 0 and a constant integer h1 ≧ 0 exist such that .

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 16 , Issue 2 , September 1973 , pp. 176 - 184
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Mahler, K., Atti della Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur., 50 (1971) 36–49.Google Scholar
[2]Mahler, K., Atti della Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur., 50 (1971) 174–184.Google Scholar
[3]Popken, J., Ph. D. Thesis, N.V.Noord-Hollandsche Uitgeversmaatschappij (1935).Google Scholar
[4]Ritt, J. F. and Gourie, E., Bull. Amer. Math. Soc., 33 (1927), 182–184.Google Scholar