Lecture

P-adic Expansion: Unique Representations and Power Series

In course
DEMO: sint dolore qui excepteur
Elit aute aliquip magna sunt cupidatat occaecat ipsum reprehenderit nulla et. Lorem est ullamco deserunt qui irure excepteur in magna cillum sunt. Ea aliquip commodo cupidatat cupidatat et aliquip occaecat excepteur. Laboris dolor nulla nulla in ut ut ipsum.
Login to see this section
Description

This lecture covers the topic of p-adic expansion, focusing on the unique representations and power series. The instructor discusses the space of C.S., emphasizing the discovery of a unique representative in Zp. Various ways to think about this representative are explored, such as explicit C.S. and power series. The lecture demonstrates how these representations are related and how they can be used to compute p-adic expansions. The discussion progresses through examples and comparisons, highlighting the homomorphism from Zp to Z/p^mZ. The lecture concludes by showcasing the practical application of these concepts in computing p-adic expansions.

About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.
Ontological neighbourhood
Related lectures (35)
Norms and Valuations on Fields
Covers the construction of Qp, norms, valuations, and Ostrovski's theorem.
Complex Manifolds: GAGA Principle
Covers the GAGA principle, stating that any morphism on projective varieties is constant.
Projective Varieties: An Algebraic Study
Covers the study of projective varieties and their relation to compact manifolds.
Algebraic Fields: Transcendence Degree
Explores transcendence degree in algebraic fields and classical analytic functions.
Variety Defined as the Closure of VCA
Explores the concept of variety defined as the closure of VCA and its applications in algebraic geometry.
Show more

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.