# set terminal pngcairo transparent enhanced font "arial,10" fontscale 1.0 size 600, 400 # set output 'zeta.1.png' set grid nopolar set grid xtics nomxtics ytics nomytics noztics nomztics nortics nomrtics \ nox2tics nomx2tics noy2tics nomy2tics nocbtics nomcbtics set grid layerdefault linecolor rgb "gray" linewidth 0.200 dashtype solid, linecolor rgb "gray" linewidth 0.200 dashtype solid set key fixed left top vertical Right reverse enhanced autotitle nobox set samples 999, 999 set style data lines set xzeroaxis set title "Real and imaginary parts of ζ(s) along the critical line real(s) = 1/2" set trange [ * : * ] noreverse nowriteback set urange [ * : * ] noreverse nowriteback set vrange [ * : * ] noreverse nowriteback set xrange [ 5.00000 : 50.0000 ] noreverse nowriteback set x2range [ * : * ] noreverse writeback set yrange [ -3.00000 : 4.00000 ] noreverse nowriteback set y2range [ * : * ] noreverse writeback set zrange [ * : * ] noreverse writeback set cbrange [ * : * ] noreverse writeback set rrange [ * : * ] noreverse writeback set colorbox vertical origin screen 0.9, 0.2 size screen 0.05, 0.6 front noinvert bdefault NO_ANIMATION = 1 save_encoding = "utf8" plot real(zeta( 0.5 + I*x )) lt 4 lw 3 title "real( ζ(½ + ix) )", imag(zeta( 0.5 + I*x )) lt 6 lw 3 title "imag( ζ(½ + ix) )"