ANALYTIC NUMBER THEORY 3: Multiplicative Functions

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In this video, Math Hobo discusses the definitions of multiplicative and completely multiplicative functions, and proves that certain arithmetic functions are multiplicative. The mathematics behind arithmetic functions will lay the foundation for the following videos in the "Analytic Number Theory" playlist, which will discuss Dirichlet Convolutions, among other wonderful topics. Likes, comments, and subscriptions are all appreciated. Math Hobo thanks you from the bottom of his heart for watching his videos.

Created by Krishna Dhulipala
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Can you clarify why @10:50 the proof necessitates 'a' and 'b' being relatively prime? Thanks

timpapich