#16477: implement Dirichlet series
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Reporter: rws | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-wishlist
Component: number theory | Resolution:
Keywords: moebius, zeta, | Merged in:
sigma, euler_phi, euler | Reviewers:
Authors: Jonathan Hanke, | Work issues: use pari, g.f. input
Ralf Stephan | Commit:
Report Upstream: N/A | 949082ca407de7df7ae2ce31ecfad4f5d21f3ffa
Branch: public/dirichlet- | Stopgaps:
series |
Dependencies: #18038, #18041 |
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Description changed by rws:
Old description:
> kcrisman in comment:20:ticket:8383:
> > Did somebody say [http://ask.sagemath.org/question/2540/defining-
> dirichlet-series defining Dirichlet series]?
> [http://www.wordpress.jonhanke.com/Software/Sage__Dirichlet_series/Dirichlet_series.sage
> Here is an implementation] that I haven't had time to try out but which
> might be a good basis for that. [https://groups.google.com/forum/#!msg
> /sage-support/v7TFXKbAV0E/ This sage-support thread] may also be
> relevant, though I don't know how advanced that psage code is.
New description:
kcrisman in comment:20:ticket:8383:
> Did somebody say [http://ask.sagemath.org/question/2540/defining-
dirichlet-series defining Dirichlet series]?
[http://www.wordpress.jonhanke.com/Software/Sage__Dirichlet_series/Dirichlet_series.sage
Here is an implementation] that I haven't had time to try out but which
might be a good basis for that. [https://groups.google.com/forum/#!msg
/sage-support/v7TFXKbAV0E/ This sage-support thread] may also be relevant,
though I don't know how advanced that psage code is.
The following file lists some product forms and their corresponding
generating functions, it should be used to pick doctests for the g.f.
input part of this ticket. The resp. OEIS entries are partly conjectural.
https://drive.google.com/file/d/0B4PmRyK1JXgHY29aa00zZnhib1k/
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Ticket URL: <http://trac.sagemath.org/ticket/16477#comment:18>
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