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CAS: sometimes doesn't detect Zeta series (Bug?)
01-06-2015, 03:47 AM
Post: #3
RE: CAS: sometimes doesn't detect Zeta series (Bug?)
Thanks Bernard!

Quote:I do not plan to add recognition of sum(1/n^k,n,...,inf) to Zeta(k) now. Unlike for rational fractions where there is an algorithm (partial fraction expansion), it would only work for this serie, it's too much work for almost no benefit (especially since there is no closed form of Zeta for rationals in giac).

Sure, sounds reasonable.
The only benefit I can see in transforming this to Zeta(k) is that it would allow using the numeric approximation of Zeta (from GSL?) for such sums. I understand that it's not worth a lot of work though.
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RE: CAS: sometimes doesn't detect Zeta series (Bug?) - danielmewes - 01-06-2015 03:47 AM



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