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Asymptotic formula for Merten's Function

fuhrerkeebs
in Mathematics

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I've been thinking about this for a while and I just wanted somebody to show me where my proof becomes faulty. This was my attempt to find an asymptotic formula for Mertens' function (the sum of the Mobius function). Oh, and if you aren't clear of my reasoning behind something, just ask...and in case it isn't obvious, I used pn to denote the nth prime number. Sorry about the cheap scan...I don't know how to use Latex...

 

Asymptotic formula for Mertens' Function

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