two different results for Sum[Log[n]/n...
- To: mathgroup at smc.vnet.net
- Subject: [mg44288] two different results for Sum[Log[n]/n...
- From: Tom Garcia <tgarcia-ng at NhOiSvPeAmMiTnHdX.org>
- Date: Tue, 4 Nov 2003 03:24:10 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
I have Mathematica 4.0.1 (oldish I know). Could someone please explain the
behaviour below --- different outputs to same input just because of some
other input in between. If it's a bug, is it fixed in more recent version?
Thanks.
$ math
Mathematica 4.0 for Students: Linux Version
Copyright 1988-1999 Wolfram Research, Inc.
-- Motif graphics initialized --
In[1]:= Sum[Log[n]/(n),{n,1,Infinity}]
Sum::div: Sum does not converge.
Log[n]
Out[1]= Sum[------, {n, 1, Infinity}]
n
In[2]:= Sum[Log[n]/(n^2),{n,1,Infinity}]
Out[2]= -Zeta'[2]
In[3]:= Sum[Log[n]/(n),{n,1,Infinity}]
Out[3]= -StieltjesGamma[1]
--
Tom Garcia
Support http://www.amnesty.org/ and http://www.fsf.org/
Ceci n'est pas email.