Image:Zeta polar.svg
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Zeta_polar.svg (SVG file, nominally 600 × 480 pixels, file size: 11 KB)
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[edit] Sumario
| Description |
This image shows a polar graph of the Riemann zeta function along the critical line. That is, it is a graph of |
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| Source | |
| Date |
22-05-2007 |
| Author |
Original artwork created by Linas Vepstas <linas@linas.org> User:Linas 19 February 2006 |
| Permission (Reusing this image) |
see below |
versus 
for real values of t running from 0 to 34. The first five zeros in the critical strip are clearly visible as the place where the spirals pass through the origin.[edit] Data file
This image was created using gnuplot, from original data, using the following command file:
set term svg set out 'zeta-imag.svg' # set term png # set out 'zeta-imag.png' # set data style lines set key right set xzeroaxis linetype -1 linewidth 2 set yzeroaxis linetype -1 linewidth 2 set xtics axis set ytics axis # # set bmargin 2 # set lmargin 5 # unset border # set border 2 # set title "Polar graph of Riemann zeta(1/2+it)" set xlabel "Re zeta(it+1/2)" 0, 1 set ylabel "Im zeta(it+1/2)" 1, 8 plot "zeta-imag.dat" using 2:3 title "" with lines linewidth 2
[edit] Licensing
File history
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| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 14:15, 22 May 2007 | 600×480 (11 KB) | Elisardojm | ({{Information |Description=This image shows a polar graph of the Riemann zeta function along the critical line. That is, it is a graph of <math>\Re\zeta(it+1/2)</math> versus <math>\Im\zeta(it+1/2)</math> for real values of) |
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