👓 Atiyah Riemann Hypothesis proof: final thoughts | The Aperiodical

Read Atiyah Riemann Hypothesis proof: final thoughts by Katie Steckles and Christian Lawson-Perfect (The Aperiodical)
After Sir Michael Atiyah’s presentation of a claimed proof of the Riemann Hypothesis earlier this week at the Heidelberg Laureate Forum, we’ve shared some of the immediate discussion in the aftermath, and now here’s a round-up of what we’ve learned.
I’m not sure I agree wholly with some of the viewpoint taken here, but I will admit that I was reading some of the earlier reports and not as much of the popular press coverage. Most reports I heard specifically mentioned the proof hadn’t been seen or gone over by others and suggested caution both as a result of that as well as the fact that Atiyah had had some recent false starts in the past several years. Some went as far as to mention that senior mathematicians in the related areas had not commented at all on the purported proof and hinted that this was a sign that they didn’t think the proof held water but also as a sign of respect for Atiyah so as not to besmirch his reputation either. In some sense, the quiet was kind of a kiss of death.

👓 Skepticism surrounds renowned mathematician’s attempted proof of 160-year-old hypothesis | Science | AAAS

Read Skepticism surrounds renowned mathematician’s attempted proof of 160-year-old hypothesis (Science | AAAS)
The Riemann hypothesis, a formula related to the distribution of prime numbers, has remained unsolved for more than a century
One of the lesser articles I’ve seen on the topic thus far…

👓 Riemann hypothesis, fine structure constant, Todd function | John D. Cook

Read Riemann hypothesis, fine structure constant, Todd function by John D. Cook (johndcook.com)
This morning Sir Michael Atiyah gave a presentation at the Heidelberg Laureate Forum with a claimed proof of the Riemann hypothesis. The Riemann hypothesis (RH) is the most famous open problem in mathematics, and yet Atiyah claims to have a simple proof.
Based on the update that the whole thing may fall apart, but the fact that it’s based on the Todd function as it reaches a limit for the fine structure constant might provide an answer to Sean Carroll’s issues? We’ll see what comes of it.

👓 Riemann hypothesis likely remains unsolved despite claimed proof | New Scientist

Read Riemann hypothesis likely remains unsolved despite claimed proof by Gilead Amit​ (New Scientist)
Mathematician Michael Atiyah has presented his claimed proof of one of the most famous unsolved problems in maths, but others remain cautiously sceptical

👓 Atiyah and the Fine-Structure Constant | Sean Carroll

Read Atiyah and the Fine-Structure Constant by Sean Carroll (Sean Carroll)
Sir Michael Atiyah, one of the world’s greatest living mathematicians, has proposed a derivation of α, the fine-structure constant of quantum electrodynamics. A preprint is here. The math her…

👓 News re proofs of the ABC conjecture & Riemann Hypothesis | John D. Cook

Read News re proofs of the ABC conjecture & Riemann Hypothesis by John D. Cook (johndcook.com)
There have been a couple news stories regarding proofs of major theorems. First, an update on Shinichi Mochizuki’s proof of the abc conjecture, then an announcement that Sir Michael Atiyah claims to have proven the Riemann hypothesis.

👓 Famed mathematician claims proof of 160-year-old Riemann hypothesis | New Scientist

Read Famed mathematician claims proof of 160-year-old Riemann hypothesis by Gilead Amit​ (New Scientist)
Michael Atiyah, a famed UK mathematician, claims that he has a "simple proof" of the Riemann hypothesis, a key unsolved question about the nature of prime numbers

👓 Mathematician-M.D. introduces a new methodology suggesting a solution to one of the greatest open problems in the history of mathematics | USC

Read Mathematician-M.D. introduces a new methodology suggesting a solution to one of the greatest open problems in the history of mathematics by Daniel Druhora (USC Viterbi School of Engineering)

A completely new approach suggests the validity of the 110-year-old Lindelöf hypothesis, opening up the possibilities of new discoveries in quantum computing, number theory and cybersecurity

Athanassios Fokas, a mathematician from the Department of Applied Mathematics and Theoretical Physics of the University of Cambridge and visiting professor in the Ming Hsieh Department of Electrical Engineering at the USC Viterbi School of Engineering has announced a novel method suggesting a solution to one of the long-standing problems in the history of mathematics, the Lindelöf Hypothesis.