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MathGroup Archive 2005

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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...
> 



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