On Fri, Apr 15, 2011 at 9:44 AM, kcrisman <[email protected]> wrote:
> On Monday or Wed., I think I'd like to show my intro number theory
> course a cool new result we would have no hope of actually examining,
> but whose result they can understand - the Barnet-Lamb/Geraghty/Harris/
> Taylor result on number of ways to write a prime as a sum of twelve
> squares, which relies on the Fundamental Lemma.  (I like pointing out
> Fields Medal -related work in my classes if I can, as long as the
> statement of the results is comprehensible.)
>
> Problem is, I don't have a convenient (non-slow) "sum of twelve
> squares" function handy in Sage.  I thought maybe some Sato-Tate
> experts could advise me how to modify some of the stuff at
> sage.math.washington.edu/sato-tate/ to show this - preferably,
> directly with input n (and then making a histogram for primes less
> than n, with @interact).

Hi,

You might find this useful: http://flask.sagenb.org/home/pub/32/

William

>
> Thanks in advance!
>
> - kcrisman
>
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-- 
William Stein
Professor of Mathematics
University of Washington
http://wstein.org

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