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pointwise multiplication of a completely multiplicative function distibutes over convolution

Type of Math Object: 
Theorem
Major Section: 
Reference

Mathematics Subject Classification

11A25 no label found

Comments

I feel that the name of this entry is too vague. Does anyone have suggestions for improvement?

something like "convolution commutes with composition"?

something like "composition disributes over convolution"?

oops, ignore that one --- "distributes over" is more accurate.

I wish we could edit postings on the PM message board...

It would be more like "pointwise multiplication distributes over convolution". (There is no function composition going on.) That name doesn't make me entirely happy either, because completely multiplicative functions aren't mentioned. Maybe "pointwise multiplication of a completely multiplicative function distibutes over convolution"? It's most certainly not vague, but it's long and somewhat cumbersome. I am definitely open to opinions and suggestions.

I think we need to have a way to edit our own posts. (Possibe PM project?)

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