Explaining the hypothesis they state: “The prime number theorem determines the average distribution of the primes.
“The Riemann Hypothesis tells us about the deviation from the average. Formulated in Riemann’s 1859 paper, it asserts that all the ‘non-obvious’ zeros of the zeta function are complex numbers with real part 1/2.”
And I’d need a little persuading from someone who does that the solution has been found:
A Nigerian professor has claimed to have solved a maths conundrum that had stumped scholars for more than 150 years.
Dr Opeyemi Enoch, from the Federal University in the ancient city of Oye Ekiti, believes he has solved one of the seven millennium problems in mathematics.
The professor says he was able to find a solution to the Riemann Hypothesis first proposed by German mathematician Bernhard Riemann in 1859, which could earn him a $1m prize, in an interview with the BBC.
However is solution to the problem has not yet been revealed.
“Dr Enoch first investigated and then established the claims of Riemann,” said a statement from the university where he teaches.
“He went on to consider and to correct the misconceptions that were communicated by mathematicians in the past generations, thus paving way for his solutions and proofs to be established.
“He also showed how other problems of this kind can be formulated and obtained the matrix that Hilbert and Poly predicted will give these undiscovered solutions. He revealed how these solutions are applicable in cryptography, quantum information science and in quantum computers.”
It’s possible that he has. But while it may well be culturalist, even racist, of me to ponder that perhaps he hasn’t, that’s the way I’m tending at the moment.
Update: and people who understand this rather better than I think he hasn’t.