CAS: sometimes doesn't detect Zeta series (Bug?)
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01-04-2015, 08:27 AM
(This post was last modified: 01-04-2015 08:32 AM by danielmewes.)
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CAS: sometimes doesn't detect Zeta series (Bug?)
Per definition, `sum(1/n^s, n, 1, inf) = Zeta(s)` for s > 1.
However Giac doesn't detect this fact consistently, instead failing on evaluating the sum. These work:
These however don't work:
I would wish that all of these examples would evaluate to `Zeta(s)` (or the exact evaluation thereof we possible, like for even integers `s`). In addition, the freeze and apparently non-deterministic behavior of `sum(1/n^(5/3), n, 1, inf)` suggest a second bug on the Prime. |
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CAS: sometimes doesn't detect Zeta series (Bug?) - danielmewes - 01-04-2015 08:27 AM
RE: CAS: sometimes doesn't detect Zeta series (Bug?) - parisse - 01-05-2015, 02:54 PM
RE: CAS: sometimes doesn't detect Zeta series (Bug?) - danielmewes - 01-06-2015, 03:47 AM
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