#16782: Riemann Zeta function for complex and real intervals
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Reporter: cheuberg | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-7.1
Component: numerical | Resolution:
Keywords: complex interval, CIF, | Merged in:
Riemann zeta function | Reviewers:
Authors: Clemens Heuberger | Work issues:
Report Upstream: N/A | Commit:
Branch: | Stopgaps:
Dependencies: |
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Changes (by cheuberg):
* type: enhancement => defect
* milestone: sage-6.4 => sage-7.1
Old description:
> For an upcoming paper, we need Riemann's zeta function in complex
> interval fields.
New description:
{{{
sage: zeta(RIF(3))
1.20205690315959
sage: _.parent()
Complex Field with 53 bits of precision
sage: zeta(CIF(2, 3))
0.798021985146276 - 0.113744308052939*I
sage: _.parent()
Complex Field with 53 bits of precision
}}}
(see ticket:19993#comment:10).
Fix this by conversion to arb, computation of zeta there, and conversion
back.
(`mpfi` does not seem to have a zeta function).
--
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Ticket URL: <http://trac.sagemath.org/ticket/16782#comment:10>
Sage <http://www.sagemath.org>
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