Let h(n,d) be # of ways of writing the identity in S_d as a product of n transpositions. Define generating function G(x,y)=∑h(n,d)/(n!d!) (n, d=0...). Let H(x,y)=log(G(x,y)). Then H(x,y) satisfies: D^2 H(x,y) = y exp(H(x,y exp(x))-2H(x,y)+H(x,y exp(-x))) where D=y∂/∂y
-
-
That's what I thought I wrote...

-
So easy to make these tiny slips.
End of conversation
New conversation -
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.