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Analysis in \( \mathbb {C}_p \)

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p-adic Numbers

Part of the book series: Universitext ((UTX))

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Abstract

This chapter tries to give the reader a taste of what analysis in Cp is like. Rather than attempt to be exhaustive, which would violate the goals of this book, we try to touch on a few remarkable points: the p-adic Weierstrass Preparation Theorem, the description of entire functions, and the theory of Newton polygons.

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Gouvêa, F.Q. (2020). Analysis in \( \mathbb {C}_p \). In: p-adic Numbers. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-030-47295-5_7

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