Counterexample: Perelman posted his proof of the geometrization conjecture on the arXiv (11 November 2002, 10 March 2003, 17 July 2003). By doing so he solved the Poincaré conjecture and was awarded the Fields medal, which he declined.mfb said:Flow chart for claims of major proofs:
Is it sent to one of the leading journals?
-- No: It is not a valid proof
He also declined the award from CMI for solving one of the Millennium problems, if it is correct, what I've read. That is, he didn't take $1,000,000. (Nevertheless, ##8## pages to solve RH alone is suspicious.)Krylov said:Counterexample: Perelman posted his proof of the geometrization conjecture on the arXiv (11 November 2002, 10 March 2003, 17 July 2003). By doing so he solved the Poincaré conjecture and was awarded the Fields medal, which he declined.
There is one additional criterion:mfb said:Flow chart for claims of major proofs:
Is it sent to one of the leading journals?
-- No: It is not a valid proof
-- Yes: Did it pass peer review?
-----In progress: It is probably not a valid proof
-----No: It is not a valid proof
-----Yes: It gets interesting. Did a mathematician find a flaw within 2 years?
--------Yes: It is not a valid proof.
--------No: It is probably a valid proof.
We don't do professional peer review here, sorry. The way to get that is to submit the article to a reputable journal and let them do it via their reviewers.fieldofforce said:Is there individual(s) at Physics Forums competent to check the math and find the flaw(s) if there is/are any?
The Riemann Hypothesis is one of the most famous unsolved problems in mathematics, first proposed by Bernhard Riemann in 1859. It is a conjecture about the distribution of prime numbers in the number system, and its proof would have significant implications in number theory and other areas of mathematics.
If the Riemann Hypothesis is proven to be true, it would confirm the connection between prime numbers and the zeros of the Riemann zeta function, which has important implications in number theory. It would also lead to breakthroughs in other areas of mathematics, such as cryptography and physics.
The Riemann Hypothesis remains unsolved and is considered one of the most challenging problems in mathematics. Many mathematicians have attempted to prove or disprove it, but so far, no proof has been accepted by the mathematical community. The Riemann Hypothesis is still an active area of research, and new approaches and techniques are being developed to tackle it.
A correct proof of the Riemann Hypothesis would need to provide a rigorous and logical argument that shows the conjecture is true. It would also need to be accepted and verified by the mathematical community through peer review and other rigorous processes. In addition, the proof would need to be consistent with existing mathematical theories and not contradict any known results.
If a proof of the Riemann Hypothesis is found, it would have a significant impact on mathematics and other fields. It would resolve one of the most famous unsolved problems in mathematics and open doors to new discoveries and advancements. It would also have practical applications, such as improving prime number factorization and cryptography algorithms.