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$\zeta(s) = \sum n^{-s}$
has all its zeros for real part of s between 0 and 1 on the vertical line $Re(s)=1/2$.  To prove this remains one of the great open questions in mathematics.  But my focus has been the ‘other’ Riemann hypothesis, that the actual universe follows a precise non-euclidean geometry.  The latter is being addressed by the S4 model of the universe.