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- W2901811704 abstract "This chapter tries to give the reader a taste of what analysis in ℂ p 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 theory of Newton polygons, the p-adic Weierstrass Preparation Theorem, the description of entire functions. As usual, the first step is to re-appropriate all the results we obtained earlier. We then go on to consider how to extend the p-adic valuation to polynomials and power series. This will yield a norm on the spaces of polynomials and of power series, which will prove to be an important tool. We then go on to proving the main theorems themselves." @default.
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- W2901811704 date "1997-01-01" @default.
- W2901811704 modified "2023-09-27" @default.
- W2901811704 title "Analysis in ℂp" @default.
- W2901811704 doi "https://doi.org/10.1007/978-3-642-59058-0_7" @default.
- W2901811704 hasPublicationYear "1997" @default.
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