The Riemann hypothesis is false

We demonstrate that the supremum of the  parts of the zeros of the Riemann zeta function is equal to 1. In particular, this dosproves the Riemann hypothesis. 

PS: The current version is not exactly a revision of any of the previous few versions. It only makes the proof of Theorem 2 a bit more rigorous. In particular, v.185 rectifies the typo on the integral defining q, which must not have a negative coefficient.

UPDATE (7/3/2023). The argument relies on the currently unproven assumption that the function tau(sigma) in (16) is real-analytic for sigma > Theta. Thus, the proof is currently conditional in this assumption. 

Note that tau(sigma) is indeed real-analytic for sigma >1, since both f(sigma) and g(sigma) are (as can be seen from (5) and (6) respectively). Thus, as is usually the case with functions dependent on -\zeta'(s)/zeta(s) - (s-1)^{-1}, one would indeed expect the (real) analyticity to extend to sigma >Theta. There seem to be also other ways to prove Theorem 2. This paper is currently work in progress.

UPDATE (07/

04/2023). The author has now managed to fix the issue mentioned in the first . This was achieved by a shorter and entirely different approach, that also works for the entire family of Dirichlet L-functions.