#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 rws):
Replying to [comment:29 jj]:
> How else could you store the g.f. in an exact matter?
Nearly all D.g.f.'s I have seen (and certainly all that generate your
arithmetic functions) are polynomials in A. `zeta(as+b)`, B. `L(chi(c,d),
s)`, C. `(1-e^(-s+f))`, with a,b,c,d,e,f integer. Okay, this is not a
proof, but well supported by data in the OEIS. So I want to store that
polynomial.
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Ticket URL: <http://trac.sagemath.org/ticket/16477#comment:30>
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