On Apr 16, 4:12 pm, William Stein <[email protected]> wrote: > 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/ >
Thanks, William, that's perfect! Also love using OpenID to log in to a new server :) Thanks, Rado et al.! At first I was mystified by the code, but that's because I had only looked at Hales' review of Ngo's work in the Notices. For those keeping score at home, this is about Corollaries 8.5 and 8.6 of http://www.math.harvard.edu/~rtaylor/cy2fin.pdf - cool stuff. By the way, I think that the histogram stuff in Sage is wrapped a *little* better than that you'd have to make up your own way of doing it? Or maybe it isn't yet :( - kcrisman -- To post to this group, send email to [email protected] To unsubscribe from this group, send email to [email protected] For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
