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Unformatted text preview: roes". T he Zeta
Function is a function that starts with any two coordinates and performs a set calculation
on them to return a v alue. I f y ou imagine the two initial coordinates to be v alues for
latitude and longitude, for ex ample, then the Zeta Function returns the altitude for
ev ery point, forming a kind of mathematical landscape full of hills and v alley s. Riemann
was ex ploring this landscape when he noticed that all of the locations that hav e zero
altitude (points at "sea lev el" in our ex ample) lie along an straight line with a "longitude"
of 0.5 – which was completely unex pected. I t's as if all the places in England that are at
www.theg uar dian.com/science/blog /2010/nov/03/million- dollar s- maths- r iemann- hypothesis 2/4 9/2/13 Win a million dollar s with maths, No. 1: The Riemann Hypothesis | M att Par ker | Science | theg uar dian.com sea lev el (ignoring the coast) are on a dead straight line that runs directly north along
the 0.5 longitude line.
Riemann used these zeroes as part of his prime distribution formula, but the problem is
that no one knows for sure that all of the zeroes a...
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This document was uploaded on 01/26/2014.
- Winter '13