The mathematicians hope that the proof of this hypothesis to contribute in defining the locations of prime numbers on the number line. This is already worthy of headlines, but if it happens that the proof is correct we are talking about news of seismic scale with. At the 2018 heidelberg laureate forum hlf, sir michael atiyah gave a lecture in which he claimed to have found a proof for the riemann hypothesis. Riemann hypothesis some numbers have the special property that they cannot be expressed as the product of two smaller numbers, e. At one point i think i even almost grasped the whole of it, though it slipped away almost as soon as it had appeared. Following the lecture i sat down with sir michael to. Estas sumas toman su nombre del matemtico alemn bernhard riemann. Sir michael atiyah riemann hypothesis proof lecture youtube. So to get compact riemann surfaces, we need the notion of an abstract riemann surface. Sir michael atiyah announced that he has a proof of the riemann hypothesis rh and will present it in heidelberg this monday 24 of september.
Now that hes officially presented it, is atiyahs proof of. The prime number theorem, hardys theorem on the zeros of. Yeah, im jealous the riemann hypothesis is named after the fact that it is a hypothesis, which, as we all know, is the largest of the three sides of a right triangle. Riemann s conjecture was that the real part of the nonobvious zeros is exactly 12. Recorded live at the heidelberg laureate forum 2018. On michael atiyah and the riemann hypothesis blog on. On michael atiyah and the riemann hypothesis blog on math blogs.
Riemann checked the first few zeros of the zeta function by hand. Riemann, and a reasonable overview of the hypothesis. The riemann hypothesis was posed in 1859 by bernhard riemann, a mathematician who was not a number. An abstract riemann surface is a topological surface, together. Now that hes officially presented it, is atiyahs proof. To explain it to you i will have to lay some groundwork.
The aim of these lectures is to provide an intorduction to the theory of the riemann zetafunction for students who might later want to do research on the subject. If atiyahs proof holds up, then the nearly 160 year problem concerning the distribution of primes will finally have a solution. You may have heard the question asked, what is the square root of minus one. The submission interface will be unavailable due to maintenance for 2 hours starting 04. That is, they all lie on a specific vertical line in the complex plane. Riemanns 1859 manuscript clay mathematics institute. Sir michael atiyah explains his proof of the infamous riemann hypothesis in one slide. The riemann hypothesis is a problem in mathematics which is currently unsolved.
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