Re: [math-fun] Question on the Riemann Hypothesis
[Marek, could you please format your posts so they are easier to read? Thanks.] Even taking "gamm_n" to mean "nth imaginary part of nontrivial zero on the critical line" this still makes no sense to me. BUT: Don't you mean "gamm_n" means "the (positive) imaginary part of the nth nontrivial zero on the critical line" ??? There is no good reason to use backslashes "\" before variables on math-fun; this just makes things harder to read. And there is no reason to use multiple spaces or random line breaks in the middle of a sentence. —Dan also some corrections: nothnig —> nothing conern —> concern Marek Wolf wrote: ----- Ken Roberts wrote:
Is there something missing in your question?
Did you mean something like this?
Consider the y values which appear as imaginary parts of zeta function zeros. Is that set of y values, modulo 2*pi, dense in [0,2*pi] ?
No, there is nothnig missing: 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\gamm_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. -----
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Dan Asimov