Re: Bug in polylogarithm integration
- To: mathgroup at smc.vnet.net
- Subject: [mg54813] Re: Bug in polylogarithm integration
- From: "Christos Argyropoulos M.D." <chrisarg at fuse.net>
- Date: Wed, 2 Mar 2005 22:29:03 -0500 (EST)
- References: <d014jk$orm$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Hi,
Mathematica 4.2 gives the correct answer on XP Home, P4 2.2 GHz,
CompaqPresario 1510EA
In[1]:=
Integrate[PolyLog[0, Exp[I*(x - y)]], {y, 0, 2*Pi}]
Out[1]=
0
----- Original Message -----
From: "D" <D at D.gov>
To: mathgroup at smc.vnet.net
Subject: [mg54813] Bug in polylogarithm integration
> The integrals
> Integrate[PolyLog[n, Exp[I*(x - y)]], {y, 0, 2*Pi}]
> and
> Integrate[PolyLog[n, Exp[I*(y - x)]], {y, 0, 2*Pi}]
> should be 0 for all n and for all x.
>
> Mathematica 5.1 gives the correct answer for both integral with
> litteral n. But the first one with n=0, n=1 and n=2 is
> incorrect, e.g.:
>
> Integrate[PolyLog[0, Exp[I*(x - y)]], {y, 0, 2*Pi}]
> -2 Pi;
>
> Interesting...
>