Is the Riemann hypothesis actually solved?
The Riemann hypothesis, a formula related to the distribution of prime numbers, has remained unsolved for more than a century. A famous mathematician today claimed he has solved the Riemann hypothesis, a problem relating to the distribution of prime numbers that has stood unsolved for nearly 160 years.
What if someone solved the Riemann hypothesis?
If the Riemann hypothesis is true, it won’t produce a prime number spectrometer. But the proof should give us more understanding of how the primes work, and therefore the proof might be translated into something that might produce this prime spectrometer.
How close are we to proving the Riemann hypothesis?
Currently, it is known to be below 0.22. Very recently (and in fact the reason I’m writing this in the first place), Brad Rogers and Tao have shown that this constant is greater than or equal to 0. Thus, the Riemann hypothesis is true if and only if the De Brijin-Newman constant is 0.
Can the Riemann hypothesis be Undecidable?
Could the Riemann hypothesis be undecidable? neither the Riemann hypothesis nor its negation is provable (within the ZFC axiom system, say).
Is Riemann hypothesis false?
Denote by \zeta the Riemann zeta function and let \Theta be the supremum of the real parts of its zeros. We demonstrate in this note that \Theta \geq \frac{3}{4}. This disproves the Riemann hypothesis, which asserts that \Theta = \frac{1}{2}.
Do mathematicians believe Riemann hypothesis is true?
Most mathematicians believe that the Riemann hypothesis is indeed true. Calculations so far have not yielded any misbehaving zeros that do not lie in the critical line. However, there are infinitely many of these zeros to check, and so a computer calculation will not verify all that much.
Can the Riemann hypothesis be unprovable?
In this note, we give a simple proof that the Riemann Hypothesis is unprovable in any reasonable axiom system.
Who proved the Riemann hypothesis?
The Riemann hypothesis builds on the prime number theorem, conjectured by Carl Friedrich Gauss in the 1790s and proved in the 1890s by Jacques Hadamard and, independently, by Charles-Jean de La Vallée Poussin.
Can the Riemann hypothesis be false?
What is the Riemann hypothesis?
The Riemann hypothesis has to do with the distribution of the prime numbers, those integers that can be divided only by themselves and one, like 3, 5, 7, 11 and so on. We know from the Greeks that there are infinitely many primes.
Is the Riemann Hypothesis A Million Dollar Problem?
Besides being one of the great unsolved problems in mathematics and therefore garnishing glory for the person who solves it, the Riemann hypothesis is one of the Clay Mathematics Institute’s “Million Dollar Problems.” A solution would certainly yield a pretty profitable haul: $1 million.
Is the Lee–Yang theorem related to Riemann hypothesis?
The Lee–Yang theorem states that the zeros of certain partition functions in statistical mechanics all lie on a “critical line” with their real part equals to 0, and this has led to some speculation about a relationship with the Riemann hypothesis. where λ ( n) is the Liouville function given by (−1) r if n has r prime factors.
Did Sir Michael Atiyah just solve the Riemann hypothesis?
Over the past few days, the mathematics world has been abuzz over the news that Sir Michael Atiyah, the famous Fields Medalist and Abel Prize winner, claims to have solved the Riemann hypothesis . If his proof turns out to be correct, this would be one of the most important mathematical achievements in many years.