I wish to find what the Riemann surface diagram of $\dfrac1{\sqrt z}$ looks like.
The problem I'm having is that this function is not defined for $z=0$, and that this function doesn't map any $z\in\mathbb C$ to $0$.
Any hints ?
I wish to find what the Riemann surface diagram of $\dfrac1{\sqrt z}$ looks like.
The problem I'm having is that this function is not defined for $z=0$, and that this function doesn't map any $z\in\mathbb C$ to $0$.
Any hints ?
You may find this illustration and related discussion in this thread.
(this is an representation of the imaginary part, the real part is similar but the sheets are one over the other instead of interlaced as here)