Beautiful, thanks. Yes, I do recognise it from Lloyd's book. John
2009/10/25 William Stein <wst...@gmail.com>: > > On Sun, Oct 25, 2009 at 10:38 AM, John Cremona <john.crem...@gmail.com> wrote: >> >> Can we see the picture? I have always wanted to know what a modular >> form looks like ;) > > Here you go: > > http://wstein.org/home/wstein/tmp/modform.png > > It may look familiar from the cover of Lloyd Kilford's book. > I'm not sure which one it is. It's the modular form viewed as a > function of q=e^(2*pi*i*z), so as a function on the open unit disk. > You get it by computing the q-expansion, then viewing that as a > polynomial of some degree (after truncating), and plotting the > absolute value (say, or argument) of that polynomial on the open unit > disk. > > William > > -- William > > > > --~--~---------~--~----~------------~-------~--~----~ To post to this group, send an email to sage-devel@googlegroups.com To unsubscribe from this group, send an email to sage-devel-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
