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- W4361983296 abstract "In this chapter, we review some facts from the theory of non-Archimedean fields that will be used in later chapters. We discuss completions, Hensel’s lemma, the Newton polygon method, extensions of local fields, ramification, and valuations and completions of global function fields. We also discuss some basic notions of analysis in the setting of complete non-Archimedean fields, such as the radius of convergence of a power series, the Weierstrass factorization theorem, and the existence and distribution of zeros of entire functions." @default.
- W4361983296 created "2023-04-05" @default.
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- W4361983296 date "2022-12-01" @default.
- W4361983296 modified "2023-09-23" @default.
- W4361983296 title "Non-Archimedean Fields" @default.
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- W4361983296 doi "https://doi.org/10.1007/978-3-031-19707-9_2" @default.
- W4361983296 hasPublicationYear "2022" @default.
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