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Topic: sum(eulerphi(n)/n!,n=1...infinity) = 5*sqrt(Pi)/3 -1 ????
Replies: 6   Last Post: Feb 2, 2013 5:14 PM

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Axel Vogt

Posts: 1,028
Registered: 5/5/07
Re: sum(eulerphi(n)/n!,n=1...infinity) = 5*sqrt(Pi)/3 -1 ????
Posted: Feb 2, 2013 5:14 PM
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Yes, a brute estimate is phi(n) <= n and then the task is smaller than
Sum(n/n!, n=1 .. infinity) = Sum(1/k!,k = 0 .. infinity) = exp(1) < 2.



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