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... >