I think I understand how to get the answer from the AoPS thread, but i dont understand how we can divide it up into three sheets. Why is this possible? Can someone explain why also this doesnt occur with branch points that are real, i.e. the cut is only on the real axis? also, how does one decide which branch of the residue at infinity to use? i know it must be exp(-5pi/3) because thats the only real answer when finally doing out the arithmetic at the end of the problem, but what about the general case? could it be possible to have more thn one real answer, Again, if so, how do you choose? Thank you so much for any help at all. If you dont know what I am talking about, go to forums at art of problem solving and search mercedes benz contour. That should pop up the thread. Thanks again!