"Disproofs of Riemann Hypothesis" by Jiang Chun-Xuan
makes the extraordinary claim that there are in fact
no zeros of the Riemann function in the critical strip.
Three proofs are offered for this claim; in the first
on p. 4, it is incorrectly claimed that the phase of
the zeta function is independent of the real part of
the argument (equation (9)); this is said to be based
on equations (5), (6) and (7), whereas equation (6)
explicitly exhibits the dependence of the phase on
the real part of the argument. The same mistake is
made in the second proof. In the third proof, the
factor exp (-itm log p) from (36) is missing in (39),
leading to an incorrect conclusion in (38) (which
would have implied that the logarithm of the zeta
function is always real).