On Tue, Jun 7, 2011 at 8:46 PM, kcrisman <kcris...@gmail.com> 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 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. Fredrik -- To post to this group, send an email to sage-devel@googlegroups.com To unsubscribe from this group, send an email to sage-devel+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org
