#19836: expansion of zeta using stieltjes-constants
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Reporter: behackl | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-7.0
Component: symbolics | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: #19834 | Stopgaps:
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Comment (by behackl):
I've created a pull request [https://github.com/pynac/pynac/pull/122
here]. Assuming this gets merged into pynac, the doctest here:
https://github.com/sagemath/sage/blob/master/src/sage/functions/transcendental.py#L81-L82
will fail and has to be removed in the ticket where pynac is updated.
This ticket here would then add the respective doctest of the form
{{{
sage: zeta(x).series(x==1, 4)
1*(x - 1)^(-1) + (euler_gamma) + (-1/2*stieltjes(1))*(x - 1) +
(1/6*stieltjes(2))*(x - 1)^2 + (-1/24*stieltjes(3))*(x - 1)^3 + Order((x -
1)^4)
}}}
Or do you suggest a different procedure?
--
Ticket URL: <http://trac.sagemath.org/ticket/19836#comment:3>
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