Skip to content

Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Winter 2004 • Question 7

Question

Math 6510 • Differentiable Manifolds Winter 2004 • Question 7

Using winding numbers, show that there is a complex number \(z\) such that \[ z^2=e^{-|z|^2}+i e^{-|z|}. \]

Raw LaTeX

Using winding numbers, show that there is a complex number \(z\) such that
\[
  z^2=e^{-|z|^2}+i e^{-|z|}.
\]

Topic Tags

Degree Theory