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difficult Riemann hypothesisWired
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85% Informative
The Riemann hypothesis is a statement about a central formula in number theory.
It says that for some complex numbers, the zeta function is equal to zero .
The new proof automatically leads to better approximations of how many primes exist in short intervals on the number line.
James Maynard and Larry Guth used a mathematical gambit to break a long-standing record on prime numbers.
The mathematicians used a new approach to improve the bounds for prime numbers with real part 3/4 .
Guth and Maynard rewrote their problem so that it was now about the largest eigenvalue of their matrix.
Larry Guth’s expertise in harmonic analysis gave him a fresh perspective on a number theory problem.
Guth likened it to playing with a Rubik 's Cube ; sometimes you have to undo previous moves and make everything look worse before finding a way to get more colors in the right place.
Guth 's expertise as a harmonic analyst rather than a number theorist made this gambit possible.
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