numbertheory   245

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Riemann hypothesis, fine structure constant, Todd function
Sir Michael Atiyah announced a proof of the Riemann hypothesis this morning, a corollary of his work on the fine structure constant and the Todd function.
math  numbertheory 
september 2018 by geetarista
Titans of Mathematics Clash Over Epic Proof of ABC Conjecture
“Each time I hear of an analysis of Mochizuki’s papers by an expert (off the record) the report is disturbingly familiar: vast fields of trivialities followed by an enormous cliff of unjustified conclusions”
2masto  mathematics  numbertheory 
september 2018 by mikelynch
>> Compare this to number theory, where every interesting extant problem appears... | Hacker News
I don't often come here to comment but as someone in progress on an original research masters in number theory I can say this is utter bullshit. I assume your 'interesting' qualification (somehow) excludes obvious candidates like Landau's problems [0]. Some examples. I was taught about the ABC conjecture as an undergrad. You can easily teach the Brun sieve [1] method of working out that the sum of the reciprocal of the twin primes converges...
numbertheory  math  hn  discussion  intro  overview  interesting  inspiration 
april 2018 by joecamel

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