#15299: Incorrect results for analytic Sha due to low precision
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Reporter: jdemeyer | Owner:
Type: defect | Status: positive_review
Priority: major | Milestone: sage-5.13
Component: elliptic curves | Resolution:
Keywords: | Merged in:
Authors: Jeroen Demeyer | Reviewers: Peter Bruin
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: #15337 | Stopgaps:
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Changes (by pbruin):
* status: needs_review => positive_review
* reviewer: => Peter Bruin
* dependencies: => #15337
Comment:
This looks very good now. The error analysis appears to be completely
rigorous for `at1()` and almost completely rigorous for `deriv_at1()`, the
only source of non-rigorousness being due to the unknown error in the
exponential integral function `eint1()` from PARI. This ticket is not the
place to try to fix this, though.
Are the PARI developers aware of this precision issue? Should it be
regarded it as a bug, or does PARI not strive for proven error bounds for
functions such as `eint1()`?
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Ticket URL: <http://trac.sagemath.org/ticket/15299#comment:25>
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