[seqfan] Re: The ordinary generating function for the Moebius function
Mats Granvik
mgranvik at abo.fi
Tue Mar 8 18:25:49 CET 2011
Dear seqfans,
I attach a link to my blog where I have written the Lambert series -
power series expression in beautiful latex. Can anyone tell if the
5:th term is correct?
http://mobiusfunction.wordpress.com/2011/03/08/the-ordinary-generating-function-for-the-mobius-function/
The whole expression written in text would be:
Sum from n=1 to infinity of mu(n)*x^n
=
+ x^1
- x^2/(1-x^1)
+ sum from a=2 to infinity of x^(2*a)/(1-x^a)
- sum from b=2 to infinity of (sum from a=2 to infinity of
x^(2*a*b)/(1-x^(a*b)) )
+ sum from c=2 to infinity of (sum from b=2 to infinity of (sum from
a=2 to infinity of x^(2*a*b*c)/(1-x^(a*b*c)) ))
Thanks,
Mats Granvik
http://www.facebook.com/mats.granvik
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