Uploaded August 2020 | Updated September 2026, 1 week ago

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Part 2 with Prof. Omar: youtu.be/8v_sh7JMUS0
Prof. Omar's video covers a very interesting function called the Möbius function, which has special properties related to the Dirichlet convolution.

A video on the fall 2014 Caltech-Harvey Mudd Math Competition (CHMMC) power round problems. Explanation of the Dirichlet Convolution, which is an important arithmetic function in number theory. We learn about many of the convolution's interesting properties!

Check out more challenge problems here: youtube.com/playlist?list=PLug5ZIRrShJGkzGsXMYQt8bi5ImYtiEMM

0:00 Dirichlet Convolution Basics
7:45 Convolution Example
12:19 Proof of Commutative
15:15 Proof of Associative
20:18 Identity Function
25:41 Inverse Functions

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Music: OcularNebula - The Lopez