12/15/2009, 08:52 PM
(This post was last modified: 12/15/2009, 11:15 PM by Base-Acid Tetration.)
Go in the negative direction from z=-1 in the complex plane. Set the cut lines from even negative numbers run to negative IMAGINARY infinity; and odd negative numbers to positive IMAGINARY (screwed that up, sorry) infinity. what happens then? your path can just zigzag between the upper and lower half planes without circling any of the singularities once. I may be wrong about how the cut lines of the double logarithmic singularities can be set.