#15737: Problem in an_padic
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Reporter: wuthrich | Owner:
Type: defect | Status: needs_review
Priority: major | Milestone: sage-6.2
Component: elliptic curves | Resolution:
Keywords: padic l-functions | Merged in:
Authors: Chris Wuthrich | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/wuthrich/ticket/15737 | afe228dbcd688562d4aed0872376af918f67c023
Dependencies: | Stopgaps:
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Comment (by pbruin):
I don't know enough about ''p''-adic ''L''-series, but why exactly is
`prec=1` a meaningless argument? It should give you precisely enough
information to get the 0-th coefficient. (If I understand correctly,
`prec` is not the ''p''-adic precision, but the power series precision; it
does influence the ''p''-adic working precision.) Am I correct that it
would make sense for `series()` to return the same result for `prec=1` as
for `prec=2` but with the series truncated to `O(T^1)`?
Setting `padic_prec=5` in the case `prec=1`, as in my above comment, is
probably indeed a mistake; it seemed a reasonable extrapolation from the
formula `padic_prec = max(bounds[1:]) + 5` used for `prec >= 2`.
--
Ticket URL: <http://trac.sagemath.org/ticket/15737#comment:5>
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