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) (Show Source): You can put this solution on YOUR website!
Here's one:
Given the Riemann zeta function
 = \frac{1}{1^s} + \frac{1}{2^s} + \frac{1}{3^s} + ...)
and its analytic continuation
 = \prod_{p} \frac{1}{1 - \frac{1}{p^s}})
,
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).
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