Hi Marek, OK, I understand now. Interesting -- no, I have never heard of that conjecture. Thank you for the mention of 1972 Elliott paper. Very interesting. Appears online at url eudml.org/doc/151220 It is fascinating how many "does it look random" tests the set of Riemann zeta zeros passes. On 26/10/2020, Marek Wolf <m.wolf@uksw.edu.pl> wrote:
my question conerned conjecture which means maximal violation of the Riemann Hypothesis. In connection with your remark I notice that in Journal für die reine und angewandte Mathematik 254, 100–109 (1972) (Theorem 2) P.D.T.A. Elliott assuming RH proved that the sequence alpha*gamma_n (n = 1, 2, ...), where gamma_n is the n-th imaginary part of nontrivial zero on the critical line, is uniformly distributed modulo 1 for every real nonzero alpha.