Some Sums
Franklin T. Adams-Watters
franktaw at netscape.net
Sat Jul 30 03:04:19 CEST 2005
I'm trying to evaluate the following sums. Can anybody produce more accurate results?
Number 1: sum_n=1^inf 1/sigma(n)^2
I get 1.306456[50]
(the digits in brackets I am not sure of).
Number 2: sum n=1^inf 1/sigma_2(n)
I get 1.537812[88]
Number 3: sum n=1^inf 1/phi(n)^2
In this case, I'm not entirely sure of any digits, but I think it's
3.39064.
For the first two, when you sum to N, the error is bounded by 1/N.
None of these is in the OEIS.
--
Franklin T. Adams-Watters
16 W. Michigan Ave.
Palatine, IL 60067
847-776-7645
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