====== 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”

Or, the// analytic continuation //of the provided infinite series is hypothesized to have non-trivial solutions that all have a real part of one half.

It remains unproved whether the hypothesis is true or false.

Full details at  [[http://en.wikipedia.org/wiki/Riemann_hypothesis|Wikipedia]]

An essay on the hypothesis can be found [[https://sites.math.washington.edu/~morrow/336_18/rhfinal%20connes.pdf|here]]  courtesy University of Washington