#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):
Replying to [comment:28 rws]:
> Replying to [comment:27 jj]:
> > - Generating functions (as q-series?), I am not entirely sure what you
mean by it...
> See
https://en.wikipedia.org/wiki/Generating_function#Dirichlet_series_generating_functions
Yes but that doesn't explain how the g.f. is implemented (in an exact
way).
For some families of Dirichlet series the corresponding ordinary (or
exponential)
generating series could be stored as a rational function (e.g. 1/(1-q)).
I assumed you meant this when refering to g.f.
How else could you store the g.f. in an exact matter?
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Ticket URL: <http://trac.sagemath.org/ticket/16477#comment:29>
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