Lecture

Hensel's Lemma Application

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In course

MATH-494: Topics in arithmetic geometry

P-adic numbers are a number theoretic analogue of the real numbers, which interpolate between arithmetics, analysis and geometry. In this course we study their basic properties and give various applications, notably we will prove rationality of the Weil Ze ...

Description

This lecture covers the application of Hensel's lemma in determining nth roots in Ip for all a, focusing on the kernel of Z to Zp. The instructor discusses the image and elements in Z = { x = Zp | 1x1=1} that are nth powers.

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