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 Gil’s Collegial Quantum Supremacy Skepticism FAQ
 Amazing! Keith Frankston, Jeff Kahn, Bhargav Narayanan, Jinyoung Park: Thresholds versus fractional expectationthresholds
 Starting today: Kazhdan Sunday seminar: “Computation, quantumness, symplectic geometry, and information”
 The story of Poincaré and his friend the baker
 Gérard Cornuéjols’s baker’s eighteen 5000 dollars conjectures
 Noisy quantum circuits: how do we know that we have robust experimental outcomes at all? (And do we care?)
 Test Your Intuition 40: What Are We Celebrating on Sept, 28, 2019? (And answer to TYI39.)
 Quantum computers: amazing progress (Google & IBM), and extraordinary but probably false supremacy claims (Google).
 Jeff Kahn and Jinyoung Park: Maximal independent sets and a new isoperimetric inequality for the Hamming cube.
Top Posts & Pages
 Gil's Collegial Quantum Supremacy Skepticism FAQ
 Amazing! Keith Frankston, Jeff Kahn, Bhargav Narayanan, Jinyoung Park: Thresholds versus fractional expectationthresholds
 TYI 30: Expected number of Dice throws
 Amazing: Hao Huang Proved the Sensitivity Conjecture!
 Quantum computers: amazing progress (Google & IBM), and extraordinary but probably false supremacy claims (Google).
 Jeff Kahn and Jinyoung Park: Maximal independent sets and a new isoperimetric inequality for the Hamming cube.
 Amazing: Ryan Alweiss, Shachar Lovett, Kewen Wu, Jiapeng Zhang made dramatic progress on the Sunflower Conjecture
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 Extremal Combinatorics I: Extremal Problems on Set Systems
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Category Archives: Number theory
Dan Romik on the Riemann zeta function
This post, about the Riemann zeta function, which is among the most important and mysterious mathematical objects was kindly written by Dan Romik. It is related to his paper Orthogonal polynomial expansions for the Riemann xi function, that we mentioned … Continue reading
Posted in Combinatorics, Guest blogger, Number theory
Tagged Dan Romik, George Polya, Paul Turan, Riemann Hypothesis, Riemann zeta function
1 Comment
8866128975287528³+(8778405442862239)³+(2736111468807040)³
Update: The result was achieved by Andrew Booker from Bristol. Here is the preprint Cracking the problem with 33. It is a notoriously difficult open problem which integers can be written as the sum of three integer cubes. Such integers … Continue reading
Test Your Intuition (or knowledge, or programming skills) 36
How much is The product ranges over all primes. In other words, Just heard it from Avinoam Mann.
Dan Romik Studies the Riemann’s Zeta Function, and Other Zeta News.
Updates to previous posts: Karim Adiprasito expanded in a comment to his post on the gconjecture on how to move from vertexdecomposable spheres to general spheres. Some photos were added to the post: Three pictures. Dan Romik on the Zeta … Continue reading
Posted in Number theory, Updates
Tagged Brad Rodgers, Dan Romik, Don Zagier, Ken Ono, Larry Rolen, Michel Griffin, polymath15, Terry Tao, Zeta function
4 Comments
Henry Cohn, Abhinav Kumar, Stephen D. Miller, Danylo Radchenko, and Maryna Viazovska: Universal optimality of the E8 and Leech lattices and interpolation formulas
Henry Cohn A follow up paper on the tight bounds for sphere packings in eight and 24 dimensions. (Thanks, again, Steve, for letting me know.) For the 2016 breakthroughs see this post, this post of John Baez, this article by Erica Klarreich on … Continue reading
Jean
Jean Bourgain and Joram Lindenstrauss. I was very sad to hear that Jean Bourgain, among the greatest mathematicians of our time, and a dear friend, passed away. I first met Jean about forty years ago and later we became friends … Continue reading
Posted in Analysis, Combinatorics, Computer Science and Optimization, Convexity, Number theory, Obituary
Tagged Jean Bourgain
4 Comments
Akshay Venkatesh Lectures at HUJI – Ostrowski’s Prize Celebration, January 24&25
Thursday January 25, 14:1515:45 Ostrowski’s prize ceremony and Akshay Venkatesh’s prize lecture: Period maps and Diophantine problems Followed by a Basic notion lecture by Frank Calegary 16:3017:45: The cohomology of arithmetic groups and Langlands program Wednesday January 24, 18:0017:00: Akshay Venkatesh … Continue reading
Updates (belated) Between New Haven, Jerusalem, and TelAviv
This is a (very much) belated update post from the beginning of March (2016). New Haven I spent six weeks in February (2016) in New Haven. It was very nice to get back to Yale after more than two years. Here … Continue reading
EDP Reflections and Celebrations
The Problem In 1932, Erdős conjectured: Erdős Discrepancy Conjecture (EDC) [Problem 9 here] For any constant , there is an such that the following holds. For any function , there exists an and a such that For any , … Continue reading
Polymath 8 – a Success!
Yitang Zhang Update (July 22, ’14). The polymath8b paper “Variants of the Selberg sieve, and bounded intervals containing many primes“, is now on the arXiv. See also this post on Terry Tao’s blog. Since the last update, we also had here … Continue reading