Riemann hypothesis solved  YouTube
when Hilbert (transform) meets Riemann (hypothesis) ..
Riemann Hypothesis not proved  The Aperiodical
Müller's comments on why this 'proof' is flawed.]
XianShun Luo, (12/2008) [abstract:] "In this paper we will give a simple proof of Riemann Hypothesis, considered to be one of the greatest unsolved problem in mathematics, related to inverse scattering problem and radom matrices.
He introduced the HilbertPólya Conjecture that theRiemann Hypothesis might be a consequence of spectral theory(in 2017 this Conjecture was partially proved by a team ofphysicists, and the Riemann Hypothesis be closeto solution!).
Why have we not solved the Riemann Hypothesis yet?
A century and a half later, proving the Riemann hypothesis remains arguably the most important unsolved problem in pure mathematics — one whose solution would fetch a $1 million Millennium Prize from the Clay Mathematics Institute. Conversely, as the number theorist Enrico Bombieri wrote in his description of the problem, “the failure of the Riemann hypothesis would create havoc in the distribution of prime numbers.”
If such a quantum system existed, this would automatically imply the Riemann hypothesis. The reason is that energy levels of quantum systems are always real numbers (as opposed to imaginary), since energy is a physically measurable quantity. And since the En’s are purely real, they become purely imaginary when multiplied by i in the formula for the corresponding Zn’s. There is never a case where an imaginary part of En is multiplied by i, canceling out its imaginary property and rendering it real, so that it then contributes to the real component of Zn and changes it from ½ to something else. Since energy levels are always real, the real parts of the zeros of the zeta function would always be ½, and the Riemann hypothesis would therefore be true.
Riemann Hypothesis: Nigerian professor says 'I have solved …
The proof is so simple that we suspect that there could be an error thatwe are unable to find."
, , 23 September 2013"Yessenbek Ushtenov, a mechanical engineer from Saryagash town, Kazakhstan, claims to to have solved one of the seven problems of the millennium, the Riemann hypothesis, AlauKazakhstan publicpolitical magazine writes..."
A.
The researchers spelled out several arguments for why the eigenvalues of their matrix are probably real, and why, in that case, the Riemann hypothesis is probably correct, but they came short of proving it. “Whether it will be difficult or easy to fill in the missing steps, at this point we cannot speculate,” said Brody. “Further work is needed to get a better feeling as to the scale of difficulty involved.”
called the Riemann Zeta function

This has been checked for the first 10,000,000,000,000 solutions
Riemann hypothesis  Wikipedia

19th Century Mathematics  The Story of Mathematics
Riemann Zeta Function

5.8 The Field Equations  MathPages
5.8 The Field Equations
Research Fields & Centers  Department of Mathematics …
Shi, (07/2003)[abstract:] "Beginning from the formal resolution of Riemann Zeta function, by using the formula of inner product between two infinitedimensional vectors in the complex space, the author proved the world's baffling problem Riemann hypothesis raised by German mathematician B.