Re: infinite product

Boudewijn Moonen schrieb:

To finish, the formula for K4 is really nice and reasonably simple. This is the more astonishing as the experts Borwein and Corless state in [1]:

"We do not know any closed form expression for K_4, however."

You have the choice whether this renders you optimistic or thrusts you into depression. Optimistic, because it shows that, even if experts are at work, you may have a reasonable chance to outdo them. And depression, because it makes you think what expertise might be really worth.

I forgot to specify [1]:

[1] Borwein, Jonathan and Corless, Robert: Emerging Tools for Experimental Mathematics,

http://citeseer.ist.psu.edu/cache/papers/cs/7473/http:zSzzSzwww.apmaths.uwo.cazSz~rcorlesszSzpaperszSzsymboliczSzemerging.pdf/borwein99emerging.pdf

See also the December 1999 issue of AMM.
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