This video describes the Prime Omega Functions in Number Theory.
There are two distinct Prime Omega Functions
The Upper Case Prime Omega Function is the total of all the prime factors that make up a value (n) .
The Lower Case Prime Omega Function is the total of distinct prime factors that make up a value (n) .
The function has many uses including the Liouville Lambda Number and the Riemann Zeta Function.
There are several Identities when using the prime Omega Functions and a link to the mobius function .
https://youtu.be/xiqj2rRXhrY
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