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Exponentielle tronqu\'ee et autres contes galoisiens
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math.NT
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galoispolynomialsseriesapproximationautrescontesevidenceexample
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We give a survey of results on the Galois group of polynomials obtained by truncation of power series, the main example being the exponential series. We also present some evidence of a new phenomena: Galois groups of Pad\'e approximation polynomials seem to have special properties as well.
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