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

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