August 02, 2010.
(disclaimer- alcohol was consumed during the creation of this review, ideas may not be logically coherent).
is very well known for his hypothesis. This book about Georg Friedrich Bernhard Riemann has taught me that the behaviour of the zeta function is pretty serious business. This is a zeta function: it
-> ζ(s) <-
where s is a complex variable. If the real part of this variable is greater than one then ζ(s) is defined as the sum of the convergent series ∑n ≥ 1 n^-s (a convergent series is converging, which is the arch-nemesis of diverging). Oh-and you have to extend ζ(s) through analytic continuation so that it may inhabit the whole complex plane (as opposed to simple plane, like a Fokker Dr.1). When you mash all this together, Riemann says that the real part of this complex number s is exactly 1.5 when it is between 0 and 1, and ζ(s) = 0. When this idea first showed up in Riemann's work, there were no clue as to how he developed it and shit.
Riemann's conjecture that all of the zeroes of the zeta function have a real part of 1.5 showed no proof whatsoever. which could imply that Riemann was from outer space because his math was too complicated for our monkey brains to grasp. He teleported away to his advanced civilization where they watch sitcoms about earth-people and lol all day.
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