On Jun 7, 3:07 pm, Fredrik Johansson <[email protected]> wrote: > On Tue, Jun 7, 2011 at 8:46 PM, kcrisman <[email protected]> wrote: > > >> That would be nice, but I don't know how much you can do numerically > >> given a "black-box" sequence. > > > So you are saying one couldn't do anything even if one made an > > assumption about polynomial growth (i.e., lots less than the > > exponential growth in the denominator)? That is, very simplistic > > looping and hoping would be the best one could hope for? I guess that > > makes sense. > > Even for the Riemann zeta function, the L-series mostly converges too > slowly for direct numerical evaluation. You need some form of
Right - or diverges too slowly for it, when s = 1 :) > convergence acceleration, and such techniques will usually only work > if the terms behave smoothly. > > Maybe there's a trick you can use for multiplicative sequences... but > you'd need such a trick. Well, again, I don't *really* need it, it would just be useful for demonstration. I certainly have no tricks up my sleeves :) - kcrisman -- To post to this group, send an email to [email protected] To unsubscribe from this group, send an email to [email protected] For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org
