#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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Comment (by jj):
Hi
Just an idea:
Shouldn't it be possible to define/implement Dirichlet series by
specifying a function
(from Z/ideals/whatever) for their coefficients?
I guess that would require some base class (which ideally would
accept/parse/recognize
functions from Z/whatever) for the coefficient functions.
I would do parsing tasks, printing(!) of functions, arithmetic
operations/dirichlet
convolutions/etc... (Completely) multiplicative functions would be a
"nice" subclass.
Ideally the implementation would at least support basic Dirichlet series
example.
Again: Just an idea (for either an extension or a new
implementation/ticket).
Regards,
Jonas
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Ticket URL: <http://trac.sagemath.org/ticket/16477#comment:19>
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