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MathGroup Archive 2005

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Bug in polylogarithm integration

  • To: mathgroup at smc.vnet.net
  • Subject: [mg54767] Bug in polylogarithm integration
  • From: D <D at D.gov>
  • Date: Tue, 1 Mar 2005 01:58:21 -0500 (EST)
  • Organization: University of Oslo, Norway
  • Sender: owner-wri-mathgroup at wolfram.com

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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