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Padé approximations and diophantine geometry

Using methods of Padé approximations we prove a converse to Eisenstein's theorem on the boundedness of denominators of coefficients in the expansion of an algebraic function, for classes of functions, parametrized by meromorphic functions. This result is applied to the Tate conjecture on the effecti...

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Veröffentlicht in:Proc Natl Acad Sci U S A
Hauptverfasser: Chudnovsky, D. V., Chudnovsky, G. V.
Format: Artigo
Sprache:Inglês
Veröffentlicht: National Academy of Sciences 1985
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Online-Zugang:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC397526/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16593552/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.82.8.2212
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