So that singular points are at . Thus . But these are both inside the circle . Thus the statement is false?
This is a special case of a more general result. If are polynomials functions with non-constant and with then the sum of residues of is always zero. Try proving it!
This is a special case of a more general result. If are polynomials functions with non-constant and with then the sum of residues of is always zero. Try proving it!
Suppose that the sum of residues of was not . Then somehow arrive at a contradiction. Is this something you discovered?