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enter image description here

How do I recreate the light gray lines and labels pointing to the zeros of this function?

I have no prior experience using Mathematica, so please include all code or resources.

I have the list of zeros here:

N[Table[Im[ZetaZero[k]], {k, 1, 29}], 10]

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0
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ParametricPlot3D[{t, Re[Zeta[1/2 + t I]], Im[Zeta[1/2 + t I]]}, {t, 0, 100}]

may serve as a starter...

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  • $\begingroup$ So I have commands for the plot and the zeros for the plot, but don't know how to create the lines that point from the actual zero to the numbers on the right as seen in the image. $\endgroup$ – zerosofthezeta Dec 30 '18 at 1:55
  • $\begingroup$ Have a look at Graphics3D, Line, and Text. It should be possible to use these in order to draw the labels and the lines programmatically (e.g. with Table). In the end, you can show the ParametricPlot3D and the Graphics3D merged into one plot with Show. $\endgroup$ – Henrik Schumacher Dec 30 '18 at 1:59
  • $\begingroup$ Having a closer look at the graphic that you posted, Arrow might also be of interest... $\endgroup$ – Henrik Schumacher Dec 30 '18 at 2:00

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