La Relativite dans tous ses Etats: Hachette Literature
- L. Nottale
- World Scientific Publs
It is explicitly shown using a Mathematica package that non-trivial complex zeroes of the Riemann zeta function may exist which do not lie in the critical line: Re s = 1/2. The generation of the location of these plausible zeroes, that may violate the Riemann conjecture, is based on the study of fractal strings/branes moving in a Cantorian-Fractal spacetime. Since this result was very strange we did a search for any possible bugs in the package. We found that the package yields spurious zeroes without any warning when the variables are evaluated up to 16 decimal places. However when calculations are performed up to 40 decimal places there is a huge discrepancy. Therefore it is warranted that true analytical calculations be performed to verify without any doubts whether these zeroes are spurious or not.