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Re: two different results for Sum[Log[n]/n...

• To: mathgroup at smc.vnet.net
• Subject: [mg44354] Re: two different results for Sum[Log[n]/n...
• From: "spiros" <bubba at yahoo.co.uk>
• Date: Wed, 5 Nov 2003 10:02:25 -0500 (EST)
• References: <bo7pbp$alu$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Seems like a bug that is fixed in version 5.

"Tom Garcia" <tgarcia-ng at NhOiSvPeAmMiTnHdX.org> wrote in message
news:bo7pbp$alu$1 at smc.vnet.net...
> 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.
>