What is a good complex analysis textbook, barring Ahlfors’s?

I’m out of college, and trying to self-learn complex analysis. I’m finding Ahlfors’ text difficult. Any recommendations? I’m probably at an intermediate sophistication level for an undergrad. (Bonus points if the text has a section on the Riemann Zeta function and the Prime Number Theorem.)


Visual Complex Analysis by Needham is good. There is also Complex Variables and Applications by Churchill which is geared towards engineers.

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