HP Prime: Dirichlet's eta function recognized but not numerically evaluated « Next Oldest | Next Newest »

 ▼ Helge Gabert Member Posts: 113 Threads: 20 Joined: Sep 2013 11-16-2013, 03:41 PM I know that the Prime's help screen says that zeta(a) should only be evaluated for real a, but I couldn't help trying out some complex values, like zeta(1-i), which returns the expression in terms of the Dirichlet eta function `eta(1-i)/(1-2^i),` which is great, (recognizing this relationship), but the eta function apparently cannot be approximated numerically (or can it?), and does not show up in the catalog. Any insights? Thanks. P.S. Other complex arguments can be approximated by zeta(), e.g., zeta(0.5-i).

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