On Mon, Jan 26, 2009 at 10:51 PM, Martin Rubey <martin.ru...@math.uni-hannover.de> wrote: > > William Stein <wst...@gmail.com> writes: > >> By the way, when using this, I repeatedly felt like I wished the >> command in Sage were "fricas" instead of "axiom" and the file to test >> were "fricas.py" instead of "axiom.py". > > I agree. Meanwhile, FriCAS is well established. > > By the way, is the following differential equation for the generating function > for integer partitions known to people coming from modular forms? (Dietrich > Burde from Vienna said it "must" be known...)
I don't personally know it, since it's pretty hard to read that ASCII art in email. I know some people (Chris Mihelich and Ken Ono) who would likely instantly know... but you should typeset a short note about this in tex to make it more palatable to mathematicians. > > Sorry about posting this to the wrong forum... The right Sage forum would be sage-nt, which I've cc'd: http://groups.google.com/group/sage-nt > > Martin > > (1) -> l := [partition n for n in 0..45] > > (1) > [1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 77, 101, 135, > 176, 231, 297, 385, 490, 627, 792, 1002, 1255, 1575, 1958, > 2436, 3010, 3718, 4565, 5604, 6842, 8349, 10143, 12310, > 14883, 17977, 21637, 26015, 31185, 37338, 44583, 53174, > 63261, 75175, 89134] > Type: List(Integer) > (2) -> guessADE(l, homogeneous==4, maxDerivative==4, maxDegree==2).1.function > > (2) > [ > n > [x ]f(x): > 2 3 (iv) 2 2 , 3 ,,, > x f(x) f (x) + (20x f(x) f (x) + 5x f(x) )f (x) > > + > 2 2 ,, 2 > - 39x f(x) f (x) > > + > 2 , 2 2 , 3 ,, > (12x f(x)f (x) - 15x f(x) f (x) + 4f(x) )f (x) > > + > 2 , 4 , 3 2 , 2 > 6x f (x) + 10x f(x)f (x) - 16f(x) f (x) > > = > 0 > , > 2 3 4 > f(x)= 1 + x + 2x + 3x + O(x )] > Type: Expression(Integer) > > > > > > -- William Stein Associate Professor of Mathematics University of Washington http://wstein.org --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to sage-devel-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
