SOLUTION: Can you tell me the hardest algebra question?

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Question 560454: Can you tell me the hardest algebra question?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Here's one:

Given the Riemann zeta function



and its analytic continuation

,

Prove that all the non-trivial zeros of the zeta function have a real part of 1/2 (e.g. prove that they lie on a line in the complex plane defined by Re(s) = 1/2).