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Thomas
@aviationdoctor.eth
There's been a remarkable breakthrough toward proving the Riemann Hypothesis, although it still falls well short of fully resolving the conjecture. Larry Guth of MIT & James Maynard of Oxford University (Fields medalist and frequent guest on YouTube's Numberphile channel) have co-authored a pre-print (https://doi.org/m7xb) in which they narrow down a previous estimate (known as the Ingham bound, dating back from 1940!) of the maximum number of non-trivial zeros of the zeta function that could lie in the right side of the critical strip (real part greater than 1/2 but not more than 1). Lay summary: https://www.scientificamerican.com/article/the-riemann-hypothesis-the-biggest-problem-in-mathematics-is-a-step-closer/ Maynard and Guth presenting their results at a recent conference: https://www.ias.edu/video/new-bounds-large-values-dirichlet-polynomials-part-1 and https://www.ias.edu/video/new-bounds-large-values-dirichlet-polynomials-part-2
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Mad Scientist
@neomedici
Thanks
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