Download seems to be fixed now. Yes, the user interface is hostile. About the eta-thingies, possible the following could give a natural approach to evaluations: Let q = exp( -Pi*K(f)/K(k)) where f=sqrt(1-k^2) (avoiding k', and K' for readability), and K is the usual elliptic K (Pi/2*hypergeom([1/2,1/2],[1],x^2), then q*prod(n=1,infty,1-q^n)^24 = 256/Pi^12*k^2*f^8*K(k)^12 and q*prod(n=1,infty,1+q^n)^24 = k^2/16/f^4 (well known, see e.g. Whittaker/Watson) Set eta(q)=prod(n=1,infty,1-q^n), and etaplus(q)=prod(n=1,infty,1+q^n) (So etaplus(q)=eta(q^2)/eta(q)) Now plug in singular vaules of k, so K'/K is known, dunno ... * Dan Asimov <dasimov@earthlink.net> [Aug 24. 2008 12:26]:
[...]
Even just trying to read the formulas is tremendously frustrating. Instead of just listing the $**%@! forumlas, their is a hierarchy of clicks necessary to see anything -- making it a huge hassle if you just want to compare two formulas in different parts of the hierarchy.
Frequently two clicks are necessary, the first click getting you to a page with virtually no new information.
And the most basic formulas for Dedekind eta, which is that its 24th power is equal to Weierstrass's modular discriminant function (up to a constant multiplier), and is also equal to Euler's phi function (ditto), are absent. (Though in fairness, there *are* several formulas for eta^24 that don't mention these facts explicitly.)
--Dan
_____________________________________________________________________ "It don't mean a thing if it ain't got that certain je ne sais quoi." --Peter Schickele
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