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 meanfully 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.

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 meanfully 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.