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George Jones

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https://royalsociety.org/news/2019/...dent-of-the-royal-society-sir-michael-atiyah/

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George Jones

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https://royalsociety.org/news/2019/...dent-of-the-royal-society-sir-michael-atiyah/

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fresh_42

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I wished he would have avoided last years controverse. His (excellent) books will survive!

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Rest in peace Sir Atiyah!

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jedishrfu

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One wonders if his last talk on the Riemann Hypothesis proof was a Fermat moment.

One that will forever be remembered for what could have been.

Has there been any further discussion on it?

I remember there was a piece missing that Sir Michael said would be published.

I found this on Quora but it seems nothing came of it:

https://www.quora.com/Now-that-he-s...ann-Hypothesis-likely-to-stand-up-to-scrutiny

Apparently, the proof hinged on the mysterious Todd function which no one knew how he had/if he had constructed it.

More on his other groundbreaking mathematical work:

https://en.wikipedia.org/wiki/Michael_Atiyah

One that will forever be remembered for what could have been.

Has there been any further discussion on it?

I remember there was a piece missing that Sir Michael said would be published.

I found this on Quora but it seems nothing came of it:

https://www.quora.com/Now-that-he-s...ann-Hypothesis-likely-to-stand-up-to-scrutiny

Apparently, the proof hinged on the mysterious Todd function which no one knew how he had/if he had constructed it.

More on his other groundbreaking mathematical work:

https://en.wikipedia.org/wiki/Michael_Atiyah

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Atiyah has directly shaped mathematical physics for the rest of time. Just last night I was watching an interview of his (posted by @romsofia here).

Requiescat in pace, dear Sir

We do not know how long ago he started nor worked on the matter, before he wasn't able to work as good as he used to do. It was abundantly clear that the man wasn't at peak performance anymore; there is no shame in this, certainly not at his age.

One only needs to recall how other intellectual giants*(e.g. among others Edward Witten, Robbert Dijkgraaf (both students of Atiyah who clearly should not need any introduction whatsoever here) and Roger Penrose, (a colleague of Atiyah since their time in college together under Todd (undergrad) and Hodge (graduate))* speak about Michael's towering intellect until this very day.

There is the possibility Atiyah's manuscripts and notes will become available online; depending on their contents we will either learn much more or be able to put the matter to rest.

It would indeed be a tremendous irony if it turns out that in the course of history his conjecture does turn out to carry weight, but like Fermat would need 3 centuries or more for mathematics to advance before it could be properly dissected and understood.

Requiescat in pace, dear Sir

I believe the world is all the richer for his works last September, if they are viewed as they should be viewed: a conjecture by a giant, possibly who realizes that cognitive decline has begun, instead of a proper proof.One wonders if his last talk on the Riemann Hypothesis proof was a Fermat moment.

We do not know how long ago he started nor worked on the matter, before he wasn't able to work as good as he used to do. It was abundantly clear that the man wasn't at peak performance anymore; there is no shame in this, certainly not at his age.

One only needs to recall how other intellectual giants

There is the possibility Atiyah's manuscripts and notes will become available online; depending on their contents we will either learn much more or be able to put the matter to rest.

It would indeed be a tremendous irony if it turns out that in the course of history his conjecture does turn out to carry weight, but like Fermat would need 3 centuries or more for mathematics to advance before it could be properly dissected and understood.

Replicating the function is difficult, no doubt see e.g. the point @mitchell porter makes:Apparently, the proof hinged on the mysterious Todd function which no one knew how he had/if he had constructed it.

But it certainly is not an insurmountable problem using 8.11 and I'm sure it has privately been achieved by others as well; however, having said that, running the resulting function on a computer seems to be problematic to say the very least.Here we should face again the fact that no participant in the Internet discussions around Atiyah's claims has understood his two papers in anything like a comprehensive way. People just focus on some little part that they think they understand. For example, it's only now that I really noticed the actual formula for "ж"! ... equation 8.11, a double limit of a sum of "Bernoulli numbers of higher order". And when I check the reddit attempt to reproduce Atiyah's calculation, 8.11 is all but ignored.

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mathwonk

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That is how the RH will be proven one day I suspect.

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jedishrfu

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