A Necessary Condition for a Nontrivial Zero of the Riemann Zeta Function via the Polylogarithmic Function

Abstract

The author has found today an error in the denominator of the residue equation (4.5). This unfortunate mistake makes the conclusions and the title of the paper incorrect. The function $Z(s,x)$ is regular at $x=1$ and the multivalued part disappears. The original motivation of the paper was to derive an old (and correct!) result due to the author using a different approach.

equation (4.5) is wrong and so is the rest of the paper

References in corpus (1)

• On the Hurwitz Zeta Function