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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-030-47295-5_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-47294-8
Online ISBN: 978-3-030-47295-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)