>
>
> Anyway, I'm not sure what to do about this.  I don't even know what
> "complex infinity" means...

Sure you do (as someone working in modular forms)! Infinity is the
point at infinity of the projective line over the
complex numbers (which is a 2-sphere). z<-->1/z exchanges complex
infinity and the origin.
That way you can speak about functions holomorphic at infinity etc...

Now we could also equip the complex plane with a "circle at
infinity".  This is the Stone Cech compactification.
I guess this is just not the right thing for complex analysis.

Michel


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