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...