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Win Five Hundred Or A Million Dollars, By Recursion?
The Erdős discrepancy problem and more source — in memoriam Raymond Redheffer was an American mathematician. He worked for his PhD under Norman Levinson, who was famous for his work on the Riemann...
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Bias In The Primes
Casinos beware—the primes are not random Quanta source (K.S. at left) Robert Lemke Oliver and Kannan Soundararajan have observed that the primes fail some simple tests of randomness in senses that are...
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Missing Mate in Ten
Can we have overlooked short solutions to major problems? src Efim Geller was a Soviet chess grandmaster, author, and teacher. Between 1953 and 1973 he reached the late stages of contention for the...
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Hunting Complexity in Zeta
A second look at Voronin’s amazing universality theorem Anatoly Karatsuba and Sergei Voronin wrote a book on Bernhard Riemann’s zeta function. The book was translated into English by Neal Koblitz in...
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The Specter of Simple(r) Proofs
When has a strikingly simple proof come first? Cropped from London Times 2017 source Michael Atiyah is giving a lecture next Monday morning at the Heidelberg Laureate Forum (HLF). It is titled,...
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Preview of the Atiyah Talk
Why the Riemann hypothesis is hard and some other observations. ICM 2018 “Matchmaking” source Michael Atiyah, as we previously posted, claims to have a proof that the Riemann Hypothesis (RH) is true....
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Reading Into Atiyah’s Proof
The Todd function method MacTutor biography source John Todd was a British geometer who worked at Cambridge for most of his life. Michael Atiyah took classes from him there. He was not Atiyah’s...
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Watching Over the Zeroes
How confident should we be that the Riemann Hypothesis is true? Composite of src1, src2 Andrew Odlyzko and Herman te Riele, in a 1985 paper, refuted a once widely believed conjecture from 1885 that...
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A Prime Breakthrough
A breakthrough on the Riemann Hypothesis [ Composite of various sources ] Michael Griffin, Ken Ono, Larry Rolen, and Don Zagier (GORZ) have recently published a paper on an old approach to the famous...
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Tricks of The Trade
Tricks are used in deep results. [ IAS ] Pierre Deligne is a famous number theorist who has won most of the top honors in mathematics. Among many achievements he developed Alexander Grothendieck’s idea...
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