File:RiemannCriticalLine.svg

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RiemannCriticalLine.svg(SVG file, nominally 800 × 600 pixels, file size: 122 KB)

[edit] Summary

Description
English: Graph of real (red) and imaginary (blue) parts of the critical line Re(z)=1/2 of the Riemann zeta function.
Date 20/11/08
Source Own work. Made with Mathematica using the following code: Show[Plot[{Re[Zeta[1/2+I x]], Im[Zeta[1/2+I x]]}, {x,-30, 30},AxesLabel->{"x"} , PlotStyle->{Red, Blue}, Ticks->{Table[4x-28,{x,0,14}]}, ImageSize->{800,600}], Graphics[Text[Style[\[DoubleStruckCapitalR][\[Zeta][ I x + "1/2"]],14,Red ,Background ->White],{-22,2.6} ]], Graphics[Text[Style[\[GothicCapitalI][\[Zeta][ I x + "1/2"]],14,Blue ,Background ->White],{-14,2.6} ]]]
Author Slonzor
Permission
(Reusing this file)

Public Domain

[edit] Licensing:

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

File history

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Date/TimeThumbnailDimensionsUserComment
current22:28, 24 September 2009Thumbnail for version as of 22:28, 24 September 2009800 × 600 (122 KB)Geek3linewidth=1px
19:33, 20 November 2008Thumbnail for version as of 19:33, 20 November 2008800 × 600 (122 KB)SlonzorMan i've messed this up a lot of times.
19:27, 20 November 2008Thumbnail for version as of 19:27, 20 November 2008800 × 600 (3.36 MB)Slonzor
19:23, 20 November 2008Thumbnail for version as of 19:23, 20 November 2008800 × 600 (3.36 MB)Slonzor
19:18, 20 November 2008Thumbnail for version as of 19:18, 20 November 2008800 × 600 (3.36 MB)Slonzor
19:13, 20 November 2008Thumbnail for version as of 19:13, 20 November 2008800 × 600 (79 KB)Slonzor{{Information |Description={{en|1=Graph of real (red) and imaginary (blue) parts of the critical line Re(z)=1/2 of the Riemann zeta function.}} |Source=Own work. Made with Mathematica using the following code: <code><nowiki>Show[Plot[{Re[Zeta[1/2+I x]],
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