Is this a correct proof of the Riemann Hypothesis?

In summary, the conversation discussed an article claiming to solve the Riemann Hypothesis and questioned its validity due to being published by a known predatory publisher. The conversation also mentioned a flow chart for evaluating major proofs and the case of Perelman's proof of the geometrization conjecture. Ultimately, the conversation concluded that professional peer review is necessary to determine the validity of the proof. The conversation was then closed as they do not do professional peer review on Physics Forums.
  • #1
fieldofforce
5
0
Found an article online detailing a proof of the Riemann Hypothesis:

<< link deleted by mentor - unacceptable source >>
 
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  • #2
No. Science Research Publishing (scirp) is a known predatory publisher and is generally not to be trusted.

I would be very sceptical to any paper claiming to solve the Riemann hypothesis unless it has been checked by the reviewers of a reputable mathematics journal.
 
  • #3
I this was true, we would have heard it even in the regular TV news. Unrecognized sensation? Nowadays?
 
  • #4
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.
 
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  • #5
Thank you. Is there individual(s) at Physics Forums competent to check the math and find the flaw(s) if there is/are any?

If there is anyone competent please let me know. I would like to chat or e-mail details of the math.
 
  • #6
I'll wait for the next Fields medalist and read it then.
 
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  • #7
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
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.
 
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  • #8
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.
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.)
 
  • #9
Well, Perelman is special ;). And he was well-known before.
 
  • #10
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.
There is one additional criterion:
Is the paper written with LaTeX?
-- No: It is not a valid proof.

The Perelman papers are written with LaTeX, while the paper we discuss here does not seem to be.
 
  • #11
fieldofforce said:
Is there individual(s) at Physics Forums competent to check the math and find the flaw(s) if there is/are any?
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.

With that, this thread is now closed.
 

Related to Is this a correct proof of the Riemann Hypothesis?

1. What is the Riemann Hypothesis?

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.

2. Why is the Riemann Hypothesis important?

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.

3. What is the current status of the Riemann Hypothesis?

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.

4. What is a correct proof of the Riemann Hypothesis?

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.

5. What would be the impact of a proof of the Riemann Hypothesis?

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.

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