Proof of the Riemann Hypothesis

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SUMMARY

The forum discussion centers on the ongoing attempts to prove the Riemann Hypothesis, referencing multiple papers, including those found at arXiv:0806.0892 and arXiv:0807.0090. Participants express skepticism regarding the validity of these proofs, with mentions of the "crackpot test" to evaluate the credibility of the authors. Notably, Terence Tao's doubts about the approaches taken in these proofs are highlighted, emphasizing the complexity and contentious nature of the topic. The discussion reflects a mix of admiration for the efforts and skepticism about their outcomes.

PREREQUISITES
  • Understanding of the Riemann Hypothesis and its significance in number theory.
  • Familiarity with the Riemann zeta function and its properties.
  • Knowledge of mathematical proof techniques and the concept of peer review in academic publishing.
  • Awareness of historical mathematical proofs, such as Wiles' proof of Fermat's Last Theorem.
NEXT STEPS
  • Research the implications of the Riemann Hypothesis on prime number distribution.
  • Study the details of Terence Tao's critiques on current proof attempts.
  • Examine the methodology behind the "crackpot test" in evaluating mathematical claims.
  • Explore the historical context and significance of the papers referenced in the discussion.
USEFUL FOR

Mathematicians, number theorists, and students interested in advanced mathematical proofs and the ongoing discourse surrounding the Riemann Hypothesis.

Count Iblis
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http://arxiv.org/abs/0806.0892"
 
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Count Iblis said:
http://arxiv.org/abs/0806.0892"
... we may have proved the Riemann Hypothesis...​
I confess if they aren't even convinced, I find it hard to be optimistic.
 
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Crackpots don't doubt themselves, so this guy passes the crackpot test.
 
I wish I could understand it better even with many years of college math and wikipedia
 
perhaps he tries to be humble... the positivity 'test' of the double integral given by Polya seems correct , perhaps an expert of number theory should take a look at this paper
 
Dragonfall said:
Crackpots don't doubt themselves, so this guy passes the crackpot test.

Did Wiles also pass the Crackpot test when he announced he found the proof of Fermat's theorem, only to discover later that there was a fatal flaw in it [which he was able to fix later at the very moment when he was taking a final look to understand better why he had faled and why he would not be able to succeed (making it easier to put the matter to rest in his mind)].

Or does the Crackpot test itself pass the Crackpot test :smile:
 
Count Iblis said:
Did Wiles also pass the Crackpot test when he announced he found the proof of Fermat's theorem, only to discover later that there was a fatal flaw in it [which he was able to fix later at the very moment when he was taking a final look to understand better why he had faled and why he would not be able to succeed (making it easier to put the matter to rest in his mind)].

Or does the Crackpot test itself pass the Crackpot test :smile:

you pass the crackpot test but fail the reading comprehension test. to pass the crackpot test is to not be a crackpot. you passed since you have doubts.
 
Hurkyl said:
I confess if they aren't even convinced, I find it hard to be optimistic.
I suppose this is a catch-22, for if they were convinced, I'd generally be even less optimistic. :smile:
 
When asked "what if" his general theory of relativity had been disproven by experiment, Albert Einstein replied: "Then I would feel sorry for the good Lord. The theory is correct."

Sounds pretty self-assured to me, but he was no crackpot.
 
  • #11
Good lord, that's a hell'a'va proof he has there. I wish I understood the half of it (I barely understand the zeta function by itself...) What do you fella's make of it?
 
  • #12
Just a gut feeling that none of them are even close. Of course I know nothing either.
 
  • #14
Well, far be it for us to question a Fields medalist.

EDIT: Ok I applaud the effort of this auto-keyword-link thing, but this has gone too far!
 
  • #15
Dragonfall said:
Well, far be it for us to question a Fields medalist.

EDIT: Ok I applaud the effort of this auto-keyword-link thing, but this has gone too far!

Heh, yeah. Maybe we can have a list of stop-phrases?
 

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