#16671: implement harmonic number function H(n,m)
-------------------------+-------------------------------------------------
Reporter: rws | Owner:
Type: | Status: needs_review
defect | Milestone: sage-6.6
Priority: major | Resolution:
Component: | Merged in:
symbolics | Reviewers:
Keywords: | Work issues:
special, log | Commit:
Authors: Ralf | d60311eda7cce822b74480550498da09b34b7a63
Stephan | Stopgaps:
Report Upstream: N/A |
Branch: |
u/rws/16671 |
Dependencies: |
#17790 |
-------------------------+-------------------------------------------------
Changes (by rws):
* status: needs_work => needs_review
* work_issues: merge fix for #17790 =>
* milestone: sage-6.4 => sage-6.6
Comment:
Replying to [comment:47 jdemeyer]:
> {{{
> sage: harmonic_number._eval_(10, Qp(5)(1))
> 7381/2520
> }}}
> but the answer should be
> {{{
> sage: Qp(5)(harmonic_number(10))
> }}}
Disagree. That should be the result of `harmonic_number._eval_(Qp(5)(10),
1)`. Anything else than a rational as second argument makes no sense.
I have now adapted the code so it gives back the same type as the input,
but wrapped as `Expression`. Also, you can expect that only if it can be
converted back, which is not the case for `H(p/q)` or `H(anything, p/q)`
as the result is not rational.
--
Ticket URL: <http://trac.sagemath.org/ticket/16671#comment:65>
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