Changes

and then to all complex numbers via,

and then to all complex numbers via,

<math>\zeta(1-s)=s^{1-s}\pi^{-s}\sin\left(\frac{1-s}{2}\pi\right)\Gamma(s-1)\zeta(s)</math>.

<math>\zeta(1-s)=2^{1-s}\pi^{-s}\sin\left(\frac{1-s}{2}\pi\right)\Gamma(s-1)\zeta(s)</math>.

Two thing are noticible from the last equation, the function is zero at negative even integers (the trivial zeros) and that the function has dependence on the values on either side of the real 1/2 line.

Two thing are noticible from the last equation, the function is zero at negative even integers (the trivial zeros) and that the function has dependence on the values on either side of the real 1/2 line.

[[Category:Mathematics]]

[[Category:Mathematics]]