#16477: implement Dirichlet series
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Reporter: rws | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.6
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 | 5698ef17c2be57ebe3826737cdba43f12c6bb8d6
Branch: u/rws/16477-1 | Stopgaps:
Dependencies: |
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Comment (by vdelecroix):
Hello,
Replying to [comment:39 rws]:
> Replying to [comment:38 vdelecroix]:
>
> > 2. Why is this new module in `sage.modular`? It makes no sense.
> The Dirichlet characters are there too. I don't see why not.
Because `sage.modular` is intended for modular forms. A Dirichlet serie is
not necessarily a modular form. To me, modules and submodules should work
by inclusion. Or at least try to.
I do not see Dirichlet series as a subset of modular forms. I perfectly
understand the reason why it is here, but it would be better in
`sage.functions` or `sage.rings`. The directory `sage.modular` really
contains too much stuff. This is historical as people that initiated Sage
were very interested in modular forms.
> > 3. You should try harder to use `pari` and not `gp`. Since #17631,
most functions are available directly in `pari`.
> But not those needing closures, see comment:16 and #18038
I see! Do you mind adding a comment in the docstring saying that as soon
as #18038 is ready, this can be modified?
> > 5. What is the purpose of the commented code?
> I didn't want to erase useful ideas of the original author.
Why letting it commented then?
Vincent
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Ticket URL: <http://trac.sagemath.org/ticket/16477#comment:40>
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