About Eisenstein's Theorem
Number Theory
2024-12-25 v2 Commutative Algebra
Complex Variables
Abstract
The aim of this survey papier is to present a result due to Eisenstein, to prove a generalized version of it, and to present some applications of this Eisenstein's Theorem, in particular to the study of the algebraic closure of the field of power series in several indeterminates.
Cite
@article{arxiv.2412.11738,
title = {About Eisenstein's Theorem},
author = {Guillaume Rond},
journal= {arXiv preprint arXiv:2412.11738},
year = {2024}
}
Comments
14 pages. Typos fixed, especially in the proof of Theorem 2.2