Here is the setup: import mpmath parametric_plot((lambda t: (20^(0.5+i*RR(t))).real(),lambda t: (20^(0.5+i*RR(t))).imag()), (0,15),rgbcolor=hue(0.7))
A circle, as one would guess. parametric_plot((lambda t: mpmath.li(20^(0.5+i*RR(t))).real,lambda t: mpmath.li(20^(0.5+i*RR(t))).imag), (0,pi/2),rgbcolor=hue(0.7)) This should, in theory, give a plot of li(20^z) along the critical line of the Riemann zeta function. Unfortunately, as you will see if you plot this, it succeeds until it hits a branch cut (I assume), and does not look so nice, not to mention missing the actual interesting behavior. Is there any way to do this properly easily? My guess is no, but I am not expert with mpmath or other Sage pieces with Li implemented for complex (like Pari). Thanks, - kcrisman -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
