Problem 45997. Evaluate the zeta function for complex arguments
Cody Problem 45988 involved computing the Riemann zeta function for real arguments greater than 1. Code that works for that problem can reveal the connection between π and the values of the zeta function evaluated at positive even integers; this connection is explored in Cody Problem 45939. However, to test the Riemann hypothesis--that all non-trivial zeros of the zeta function have a real part of 1/2, one needs to compute the zeta function for complex arguments.
Write a function to evaluate the zeta function for complex arguments.
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