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The Riemann hypothesis

- was proposed by Bernhard Riemann (1859), and is a conjecture about the distribution of the zeros of the Riemann zeta function.

The Riemann hypothesis asserts that all interesting solutions of the equation :

$$ {\displaystyle \zeta (s)=\sum _{n=1}^{\infty }{\frac {1}{n^{s}}},} $$

lie on a certain vertical straight line.

Expressed as : “Every nontrivial zero of the Riemann zeta function has real part 1/2.”

It remains unproved whether the hypothesis is true or false.

Full details at Wikipedia

An essay on the hypothesis can be found here courtesy University of Washington


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