# File:Zeta0.5 100.svg Information

https://en.wikipedia.org/wiki/File:Zeta0.5_100.svg

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## Summary

 Description ${\displaystyle \Re (\zeta ({\frac {1}{2}}+\mathrm {i} t))}$  and  ${\displaystyle \Im (\zeta ({\frac {1}{2}}+\mathrm {i} t))}$ English: Riemann-Zeta-function real and imaginary part on the critical line from 0 to 100. note that ${\displaystyle \Re (\zeta (\textstyle {\frac {1}{2}}-\mathrm {i} t))=\Re (\zeta (\textstyle {\frac {1}{2}}+\mathrm {i} t))}$ and ${\displaystyle \Im (\zeta (\textstyle {\frac {1}{2}}-\mathrm {i} t))=-\Im (\zeta (\textstyle {\frac {1}{2}}+\mathrm {i} t))}$ Date December 2008 Source Own work Author Geek3 Other versions Zeta0.5 100 thin.svg, Zeta0.5 100 abs.svg
Mathematical Function Plot
Description Plot of the Riemann Zeta function
Equation1 (blue) ${\displaystyle y=\Re (\zeta (\textstyle {\frac {1}{2}}+\mathrm {i} t))}$
Equation2 (red) ${\displaystyle y=\Im (\zeta (\textstyle {\frac {1}{2}}+\mathrm {i} t))}$
Coordinate System Cartesian
X Range 0 .. 100
Y Range ${\displaystyle \mathbb {R} }$
Accuracy 0.000001

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## File history

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Date/TimeThumbnailDimensionsUserComment
current 20:33, 7 September 2009 680 × 800 (93 KB)Geek3small error correction
20:30, 7 September 2009 680 × 800 (93 KB)Geek3improved version
17:44, 19 December 2008 680 × 800 (106 KB)Geek3{{Information |Description=$\Re(\zeta(\frac{1}{2} + \mathrm{i}t))$  and  $\Im(\zeta(\frac{1}{2} + \mathrm{i}t))$ {{en|1=Riemann-Zeta-function real and imaginary part on the critical line from 0 to 100. note that [itex]\Re(\
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