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{{Information |Description=<math>\Re(\zeta(\frac{1}{2} + \mathrm{i}t))</math> and <math>\Im(\zeta(\frac{1}{2} + \mathrm{i}t))</math> {{en|1=Riemann-Zeta-function real and imaginary part on the critical line from 0 to 100. note that <math>\Re(\
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Short title
Zeta0.5_100.svg - real and imaginary Part of
the Riemann-Zeta-function
on the critical line from 0 to 100
Image title
Riemann-Zeta-function
from Wikimedia Commons
plot-range: real=1/2; imaginary=[0 to 100]
note that Re(Zeta(1/2 - ix)) = Re(Zeta(1/2 + ix))
and Im(Zeta(1/2 - ix)) = -Im(Zeta(1/2 + ix))
plotted with several adapted cubic bezier-curves
The plotcurve was calculated by some fancy code. The bezier-curve
controlpoints are placed on tangents of the function-curve. They are
furthermore positioned in a way to minimize the average quadratic distance
between the bezier-curve and the function. This gives an accuracy, so that
the deviation is in no point greater than 0.000001.
symbols in "Computer Modern" (TeX) font embedded
created with a plain text editor using GNU/Linux