Uploaded February 2022 | Updated September 2026, 2 weeks ago

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This lecture is part of my Berkeley math 115 course "Introduction to number theory"
For the other lectures in the course see youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8

We describe a method due to Hensel and Newton for lifting a solution of an equation mod p to a solution mod a power of p.

The textbook is "An introduction to the theory of numbers" by Niven, Zuckerman, and Montgomery (5th edition).