Near the beginning of his 1859 paper, Riemann incorrectly assumes that the complex variable s =(1/2) + ti is a zeta power. Riemann fails to recognise that an expression containing an imaginary number such as (1/2) +ti cannot be a power unless the base is a log base such as e. The best known example of this is Cotes's formula cosu + isinu equals e^(iu), where it is not possible for e to be replaced by other values, also e^(1/2) X e^(iu) equals e^[(1/2) +iu]. This means that Riemann is badly wrong in applying as a power s= (1/2) +ti. It also means that practically all the arguments in his 1859 paper are fallacious. submitted by Peter L. Griffiths.