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Introduction to number theory lecture 45 Dirichlet series

7.7K views on YouTube

Richard E Borcherds 53 tutorials here
Mathematics

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

We introduce Dirichlet series as generating functions of arithmetical functions and give some examples.

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