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I'm no expert and I don't like engaging in arguments to authority but Terrence Tao is one of the leading mathematicians of our age, akin to Erdos. When he's exc
by abetusk 2y ago
I'm no expert and I don't like engaging in arguments to authority but Terrence Tao is one of the leading mathematicians of our age, akin to Erdos. When he's excited about a result, that should be a high signal indicator that it's worth paying attention.
In terms of the result itself, as Tao explains:
> ... making the first substantial improvement to a classical 1940 ...
Meaning, it's been 80 years since any progress has been made on this front (bounds of zeros of the Riemann zeta function).
I would make the argument that it's not so much making a top speed car from 200mph to 227mph but discovering an engine that uses gasoline instead of steam.
Presumably the methods used in the paper might be able to be extended or refined to get better results.