I AM ALGORITHM
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Why is the Riemann Hypothesis hard? Just one reason (of very many): it's not an analytic question. Here are the values of zeta on the 1/2-line (where at least 40% of the zeros are, all should be) and the 4/5-line, where none should be. The latter gets arbitrarily close to 0, i.o.
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The Riemann hypothesis is one of the most famous and important unsolved problems in number theory. It states that,
all the non-trivial zeros of the Riemann zeta function have real part equal to 1/2.
The Riemann zeta function is defined by the given relation for any complex number s that is not equal to 1. It has many implications for the distribution of prime numbers and other arithmetic functions.
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📹 Mathematician Explains Infinity in 5 Levels of Difficulty | WIRED
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