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. >