Timeline for Are there infinitely many zeros of $\chi(s)+ \dfrac{2^{s}- 2^{2s-1}}{2^{s}-1}$ on the critical line?

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Apr 13, 2017 at 12:58	history	edited	CommunityBot		replaced http://mathoverflow.net/ with https://mathoverflow.net/
May 1, 2016 at 6:28	comment	added	user90369		Not the above equation seems to be interesting, but its behavior. I mean: There are infinitely many functions with a similar behavior ( most astonishing is the constantly recurring maximum, it is actually 2 ? ). It would make sense to look for functions where the problematic gamma function has disappeared, so that the real part of all zeros is \frac{1}{2} . Does such an equation exist ? (I don't know)
Jun 12, 2015 at 14:04	history	edited	Agno	CC BY-SA 3.0	Fixed an error (mixed up N and the prime number $P_N$ in the graph explanation).
Jun 12, 2015 at 12:58	history	edited	Agno	CC BY-SA 3.0	Added a graph of the zeros to better illustrate the point.
Jun 12, 2015 at 7:47	comment	added	Agno		Zeraoulia, the subtle difference is that this equation builds up the prime distribution 'prime by prime' and each incremental prime added to the product keeps inducing zeros at (I conjecture) $\Re(s)=\frac12$. It seems to also work for any finite integer product in this equation (with the imaginary parts then obviously uncorrelated to the $\rho$s, but the $\Re(s)$ still at $\frac12$).
Jun 11, 2015 at 23:34	comment	added	zeraoulia rafik		:This problem is nifty looking and it's the same with RH (Always the same gaol "problem of primes distribution )
Jun 11, 2015 at 22:42	history	asked	Agno	CC BY-SA 3.0