I have been trying to understand the following proof for a while and I think I understand most of it. I however have just one query pertaining to the proof.
Consider the following theorem:
Now the only query I have is:
What exactly is meant by “the discrete nature of zeros of a meromorphic function”?
I do not know about this property of meromorphic functions. Can someone kindly explain this?
I understand the rest of the argument. I just do not know what this property of meromorphic functions is.
Also, can someone suggest any relatively simple notes on complex analysis for the purposes of Analytic Number Theory?