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p-adic Numbers pp 225-269 | Cite as

Analysis in \( \mathbb C_p \)

  • Fernando Q. Gouvêa
Chapter
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Part of the Universitext book series (UTX)

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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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Fernando Q. Gouvêa
    • 1
  1. 1.Department of Mathematics and StatisticsColby CollegeWatervilleUSA

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